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Finding the Fourth Proportional to 5,642,470.56, 7,788,993.24 and 3,809,411.91

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Solution

The fourth proportional to 5,642,470.56, 7,788,993.24 and 3,809,411.91 is: 5,258,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,470.56 : 7,788,993.24 = 3,809,411.91 : x
  2. Step 2: Convert to fraction form
    5,642,470.56/7,788,993.24 = 3,809,411.91/x
  3. Step 3: Cross multiply
    5,642,470.56x = 7,788,993.24 × 3,809,411.91
  4. Step 4: Simplify right side
    5,642,470.56x = 29,671,483,597,508.87
  5. Step 5: Solve for x
    x = 29,671,483,597,508.87/5,642,470.56
  6. Step 6: Final answer
    x = 5,258,597.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.