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Finding the Fourth Proportional to 5,204.50, 7,182.65 and 3,187.90

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Solution

The fourth proportional to 5,204.50, 7,182.65 and 3,187.90 is: 4,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.50 : 7,182.65 = 3,187.90 : x
  2. Step 2: Convert to fraction form
    5,204.50/7,182.65 = 3,187.90/x
  3. Step 3: Cross multiply
    5,204.50x = 7,182.65 × 3,187.90
  4. Step 4: Simplify right side
    5,204.50x = 22,897,569.94
  5. Step 5: Solve for x
    x = 22,897,569.94/5,204.50
  6. Step 6: Final answer
    x = 4,399.58

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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.