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Finding the Fourth Proportional to 3,690.64, 5,535.96 and 2,597.14

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Solution

The fourth proportional to 3,690.64, 5,535.96 and 2,597.14 is: 3,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.64 : 5,535.96 = 2,597.14 : x
  2. Step 2: Convert to fraction form
    3,690.64/5,535.96 = 2,597.14/x
  3. Step 3: Cross multiply
    3,690.64x = 5,535.96 × 2,597.14
  4. Step 4: Simplify right side
    3,690.64x = 14,377,663.15
  5. Step 5: Solve for x
    x = 14,377,663.15/3,690.64
  6. Step 6: Final answer
    x = 3,895.71

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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.