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Finding the Fourth Proportional to 5,642,435.95, 7,786,563.14 and 3,064,116.04

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Solution

The fourth proportional to 5,642,435.95, 7,786,563.14 and 3,064,116.04 is: 4,228,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,435.95 : 7,786,563.14 = 3,064,116.04 : x
  2. Step 2: Convert to fraction form
    5,642,435.95/7,786,563.14 = 3,064,116.04/x
  3. Step 3: Cross multiply
    5,642,435.95x = 7,786,563.14 × 3,064,116.04
  4. Step 4: Simplify right side
    5,642,435.95x = 23,858,933,013,746.77
  5. Step 5: Solve for x
    x = 23,858,933,013,746.77/5,642,435.95
  6. Step 6: Final answer
    x = 4,228,480.97

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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.