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Finding the Fourth Proportional to 3,665.57, 5,499.57 and 2,437.82

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Solution

The fourth proportional to 3,665.57, 5,499.57 and 2,437.82 is: 3,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.57 : 5,499.57 = 2,437.82 : x
  2. Step 2: Convert to fraction form
    3,665.57/5,499.57 = 2,437.82/x
  3. Step 3: Cross multiply
    3,665.57x = 5,499.57 × 2,437.82
  4. Step 4: Simplify right side
    3,665.57x = 13,406,934.24
  5. Step 5: Solve for x
    x = 13,406,934.24/3,665.57
  6. Step 6: Final answer
    x = 3,657.54

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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.