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Finding the Fourth Proportional to 3,494.72, 5,242.56 and 1,414.80

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Solution

The fourth proportional to 3,494.72, 5,242.56 and 1,414.80 is: 2,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.72 : 5,242.56 = 1,414.80 : x
  2. Step 2: Convert to fraction form
    3,494.72/5,242.56 = 1,414.80/x
  3. Step 3: Cross multiply
    3,494.72x = 5,242.56 × 1,414.80
  4. Step 4: Simplify right side
    3,494.72x = 7,417,173.89
  5. Step 5: Solve for x
    x = 7,417,173.89/3,494.72
  6. Step 6: Final answer
    x = 2,122.39

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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.