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Finding the Fourth Proportional to 3,348.72, 5,023.53 and 1,157.31

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Solution

The fourth proportional to 3,348.72, 5,023.53 and 1,157.31 is: 1,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.72 : 5,023.53 = 1,157.31 : x
  2. Step 2: Convert to fraction form
    3,348.72/5,023.53 = 1,157.31/x
  3. Step 3: Cross multiply
    3,348.72x = 5,023.53 × 1,157.31
  4. Step 4: Simplify right side
    3,348.72x = 5,813,781.50
  5. Step 5: Solve for x
    x = 5,813,781.50/3,348.72
  6. Step 6: Final answer
    x = 1,736.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.