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Finding the Fourth Proportional to 5,687,139.84, 7,845,903.06 and 3,969,265.92

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Solution

The fourth proportional to 5,687,139.84, 7,845,903.06 and 3,969,265.92 is: 5,475,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687,139.84 : 7,845,903.06 = 3,969,265.92 : x
  2. Step 2: Convert to fraction form
    5,687,139.84/7,845,903.06 = 3,969,265.92/x
  3. Step 3: Cross multiply
    5,687,139.84x = 7,845,903.06 × 3,969,265.92
  4. Step 4: Simplify right side
    5,687,139.84x = 31,142,475,627,681.71
  5. Step 5: Solve for x
    x = 31,142,475,627,681.71/5,687,139.84
  6. Step 6: Final answer
    x = 5,475,946.87

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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.