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Finding the Fourth Proportional to 6,501.57, 8,972.16 and 3,517.41

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Solution

The fourth proportional to 6,501.57, 8,972.16 and 3,517.41 is: 4,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.57 : 8,972.16 = 3,517.41 : x
  2. Step 2: Convert to fraction form
    6,501.57/8,972.16 = 3,517.41/x
  3. Step 3: Cross multiply
    6,501.57x = 8,972.16 × 3,517.41
  4. Step 4: Simplify right side
    6,501.57x = 31,558,729.24
  5. Step 5: Solve for x
    x = 31,558,729.24/6,501.57
  6. Step 6: Final answer
    x = 4,854.02

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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.