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Finding the Fourth Proportional to 3,126,438, 4,689,657 and 762,534

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Solution

The fourth proportional to 3,126,438, 4,689,657 and 762,534 is: 1,143,801

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126,438 : 4,689,657 = 762,534 : x
  2. Step 2: Convert to fraction form
    3,126,438/4,689,657 = 762,534/x
  3. Step 3: Cross multiply
    3,126,438x = 4,689,657 × 762,534
  4. Step 4: Simplify right side
    3,126,438x = 3,576,022,910,838
  5. Step 5: Solve for x
    x = 3,576,022,910,838/3,126,438
  6. Step 6: Final answer
    x = 1,143,801

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.