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Finding the Fourth Proportional to 4,266.62, 5,885.61 and 3,470.80

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Solution

The fourth proportional to 4,266.62, 5,885.61 and 3,470.80 is: 4,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.62 : 5,885.61 = 3,470.80 : x
  2. Step 2: Convert to fraction form
    4,266.62/5,885.61 = 3,470.80/x
  3. Step 3: Cross multiply
    4,266.62x = 5,885.61 × 3,470.80
  4. Step 4: Simplify right side
    4,266.62x = 20,427,778.02
  5. Step 5: Solve for x
    x = 20,427,778.02/4,266.62
  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.