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Finding the Fourth Proportional to 5,006.38, 7,509.15 and 1,543.66

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Solution

The fourth proportional to 5,006.38, 7,509.15 and 1,543.66 is: 2,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.38 : 7,509.15 = 1,543.66 : x
  2. Step 2: Convert to fraction form
    5,006.38/7,509.15 = 1,543.66/x
  3. Step 3: Cross multiply
    5,006.38x = 7,509.15 × 1,543.66
  4. Step 4: Simplify right side
    5,006.38x = 11,591,574.49
  5. Step 5: Solve for x
    x = 11,591,574.49/5,006.38
  6. Step 6: Final answer
    x = 2,315.36

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