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Finding the Fourth Proportional to 4,737.69, 6,538.01 and 2,641.81

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Solution

The fourth proportional to 4,737.69, 6,538.01 and 2,641.81 is: 3,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.69 : 6,538.01 = 2,641.81 : x
  2. Step 2: Convert to fraction form
    4,737.69/6,538.01 = 2,641.81/x
  3. Step 3: Cross multiply
    4,737.69x = 6,538.01 × 2,641.81
  4. Step 4: Simplify right side
    4,737.69x = 17,272,180.20
  5. Step 5: Solve for x
    x = 17,272,180.20/4,737.69
  6. Step 6: Final answer
    x = 3,645.70

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