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Finding the Fourth Proportional to 5,642,447.92, 7,788,961.56 and 3,809,388.96

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Solution

The fourth proportional to 5,642,447.92, 7,788,961.56 and 3,809,388.96 is: 5,258,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,447.92 : 7,788,961.56 = 3,809,388.96 : x
  2. Step 2: Convert to fraction form
    5,642,447.92/7,788,961.56 = 3,809,388.96/x
  3. Step 3: Cross multiply
    5,642,447.92x = 7,788,961.56 × 3,809,388.96
  4. Step 4: Simplify right side
    5,642,447.92x = 29,671,184,176,528.38
  5. Step 5: Solve for x
    x = 29,671,184,176,528.38/5,642,447.92
  6. Step 6: Final answer
    x = 5,258,565.89

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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.