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Finding the Fourth Proportional to 5,382.72, 8,073.96 and 3,534.60

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Solution

The fourth proportional to 5,382.72, 8,073.96 and 3,534.60 is: 5,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.72 : 8,073.96 = 3,534.60 : x
  2. Step 2: Convert to fraction form
    5,382.72/8,073.96 = 3,534.60/x
  3. Step 3: Cross multiply
    5,382.72x = 8,073.96 × 3,534.60
  4. Step 4: Simplify right side
    5,382.72x = 28,538,219.02
  5. Step 5: Solve for x
    x = 28,538,219.02/5,382.72
  6. Step 6: Final answer
    x = 5,301.82

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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.