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Finding the Fourth Proportional to 3,677.60, 5,516.44 and 1,339.26

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Solution

The fourth proportional to 3,677.60, 5,516.44 and 1,339.26 is: 2,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.60 : 5,516.44 = 1,339.26 : x
  2. Step 2: Convert to fraction form
    3,677.60/5,516.44 = 1,339.26/x
  3. Step 3: Cross multiply
    3,677.60x = 5,516.44 × 1,339.26
  4. Step 4: Simplify right side
    3,677.60x = 7,387,947.43
  5. Step 5: Solve for x
    x = 7,387,947.43/3,677.60
  6. Step 6: Final answer
    x = 2,008.90

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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.