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Finding the Fourth Proportional to 3,354.75, 5,032.26 and 1,046.25

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Solution

The fourth proportional to 3,354.75, 5,032.26 and 1,046.25 is: 1,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.75 : 5,032.26 = 1,046.25 : x
  2. Step 2: Convert to fraction form
    3,354.75/5,032.26 = 1,046.25/x
  3. Step 3: Cross multiply
    3,354.75x = 5,032.26 × 1,046.25
  4. Step 4: Simplify right side
    3,354.75x = 5,265,002.03
  5. Step 5: Solve for x
    x = 5,265,002.03/3,354.75
  6. Step 6: Final answer
    x = 1,569.42

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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.