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Finding the Fourth Proportional to 3,414.72, 5,123.88 and 1,466.40

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Solution

The fourth proportional to 3,414.72, 5,123.88 and 1,466.40 is: 2,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.72 : 5,123.88 = 1,466.40 : x
  2. Step 2: Convert to fraction form
    3,414.72/5,123.88 = 1,466.40/x
  3. Step 3: Cross multiply
    3,414.72x = 5,123.88 × 1,466.40
  4. Step 4: Simplify right side
    3,414.72x = 7,513,657.63
  5. Step 5: Solve for x
    x = 7,513,657.63/3,414.72
  6. Step 6: Final answer
    x = 2,200.37

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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.