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Finding the Fourth Proportional to 3,531.64, 5,292.42 and 1,801.48

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Solution

The fourth proportional to 3,531.64, 5,292.42 and 1,801.48 is: 2,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.64 : 5,292.42 = 1,801.48 : x
  2. Step 2: Convert to fraction form
    3,531.64/5,292.42 = 1,801.48/x
  3. Step 3: Cross multiply
    3,531.64x = 5,292.42 × 1,801.48
  4. Step 4: Simplify right side
    3,531.64x = 9,534,188.78
  5. Step 5: Solve for x
    x = 9,534,188.78/3,531.64
  6. Step 6: Final answer
    x = 2,699.65

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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.