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Finding the Fourth Proportional to 3,909.79, 5,864.55 and 1,505.85

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Solution

The fourth proportional to 3,909.79, 5,864.55 and 1,505.85 is: 2,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.79 : 5,864.55 = 1,505.85 : x
  2. Step 2: Convert to fraction form
    3,909.79/5,864.55 = 1,505.85/x
  3. Step 3: Cross multiply
    3,909.79x = 5,864.55 × 1,505.85
  4. Step 4: Simplify right side
    3,909.79x = 8,831,132.62
  5. Step 5: Solve for x
    x = 8,831,132.62/3,909.79
  6. Step 6: Final answer
    x = 2,258.72

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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.