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Finding the Fourth Proportional to 3,643.60, 5,453.88 and 2,600.24

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Solution

The fourth proportional to 3,643.60, 5,453.88 and 2,600.24 is: 3,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.60 : 5,453.88 = 2,600.24 : x
  2. Step 2: Convert to fraction form
    3,643.60/5,453.88 = 2,600.24/x
  3. Step 3: Cross multiply
    3,643.60x = 5,453.88 × 2,600.24
  4. Step 4: Simplify right side
    3,643.60x = 14,181,396.93
  5. Step 5: Solve for x
    x = 14,181,396.93/3,643.60
  6. Step 6: Final answer
    x = 3,892.14

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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.