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Finding the Fourth Proportional to 3,343.64, 5,016.33 and 1,152.53

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Solution

The fourth proportional to 3,343.64, 5,016.33 and 1,152.53 is: 1,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.64 : 5,016.33 = 1,152.53 : x
  2. Step 2: Convert to fraction form
    3,343.64/5,016.33 = 1,152.53/x
  3. Step 3: Cross multiply
    3,343.64x = 5,016.33 × 1,152.53
  4. Step 4: Simplify right side
    3,343.64x = 5,781,445.73
  5. Step 5: Solve for x
    x = 5,781,445.73/3,343.64
  6. Step 6: Final answer
    x = 1,729.09

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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.