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Finding the Fourth Proportional to 3,712.60, 5,577.61 and 3,502.44

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Solution

The fourth proportional to 3,712.60, 5,577.61 and 3,502.44 is: 5,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.60 : 5,577.61 = 3,502.44 : x
  2. Step 2: Convert to fraction form
    3,712.60/5,577.61 = 3,502.44/x
  3. Step 3: Cross multiply
    3,712.60x = 5,577.61 × 3,502.44
  4. Step 4: Simplify right side
    3,712.60x = 19,535,242.18
  5. Step 5: Solve for x
    x = 19,535,242.18/3,712.60
  6. Step 6: Final answer
    x = 5,261.87

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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.