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Finding the Fourth Proportional to 3,659.85, 5,486.54 and 1,711.53

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Solution

The fourth proportional to 3,659.85, 5,486.54 and 1,711.53 is: 2,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.85 : 5,486.54 = 1,711.53 : x
  2. Step 2: Convert to fraction form
    3,659.85/5,486.54 = 1,711.53/x
  3. Step 3: Cross multiply
    3,659.85x = 5,486.54 × 1,711.53
  4. Step 4: Simplify right side
    3,659.85x = 9,390,369.25
  5. Step 5: Solve for x
    x = 9,390,369.25/3,659.85
  6. Step 6: Final answer
    x = 2,565.78

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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.