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Finding the Fourth Proportional to 3,697.56, 5,103.95 and 3,260.16

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Solution

The fourth proportional to 3,697.56, 5,103.95 and 3,260.16 is: 4,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.56 : 5,103.95 = 3,260.16 : x
  2. Step 2: Convert to fraction form
    3,697.56/5,103.95 = 3,260.16/x
  3. Step 3: Cross multiply
    3,697.56x = 5,103.95 × 3,260.16
  4. Step 4: Simplify right side
    3,697.56x = 16,639,677.33
  5. Step 5: Solve for x
    x = 16,639,677.33/3,697.56
  6. Step 6: Final answer
    x = 4,500.18

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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.