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Finding the Fourth Proportional to 5,309.52, 7,328.16 and 3,517.02

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Solution

The fourth proportional to 5,309.52, 7,328.16 and 3,517.02 is: 4,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.52 : 7,328.16 = 3,517.02 : x
  2. Step 2: Convert to fraction form
    5,309.52/7,328.16 = 3,517.02/x
  3. Step 3: Cross multiply
    5,309.52x = 7,328.16 × 3,517.02
  4. Step 4: Simplify right side
    5,309.52x = 25,773,285.28
  5. Step 5: Solve for x
    x = 25,773,285.28/5,309.52
  6. Step 6: Final answer
    x = 4,854.16

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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.