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Finding the Fourth Proportional to 3,542.88, 5,314.32 and 1,234.36

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Solution

The fourth proportional to 3,542.88, 5,314.32 and 1,234.36 is: 1,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.88 : 5,314.32 = 1,234.36 : x
  2. Step 2: Convert to fraction form
    3,542.88/5,314.32 = 1,234.36/x
  3. Step 3: Cross multiply
    3,542.88x = 5,314.32 × 1,234.36
  4. Step 4: Simplify right side
    3,542.88x = 6,559,784.04
  5. Step 5: Solve for x
    x = 6,559,784.04/3,542.88
  6. Step 6: Final answer
    x = 1,851.54

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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.