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Finding the Fourth Proportional to 4,909.60, 6,771.36 and 3,471.42

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Solution

The fourth proportional to 4,909.60, 6,771.36 and 3,471.42 is: 4,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.60 : 6,771.36 = 3,471.42 : x
  2. Step 2: Convert to fraction form
    4,909.60/6,771.36 = 3,471.42/x
  3. Step 3: Cross multiply
    4,909.60x = 6,771.36 × 3,471.42
  4. Step 4: Simplify right side
    4,909.60x = 23,506,217.17
  5. Step 5: Solve for x
    x = 23,506,217.17/4,909.60
  6. Step 6: Final answer
    x = 4,787.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.