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Finding the Fourth Proportional to 5,729.88, 8,594.40 and 1,781.04

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Solution

The fourth proportional to 5,729.88, 8,594.40 and 1,781.04 is: 2,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.88 : 8,594.40 = 1,781.04 : x
  2. Step 2: Convert to fraction form
    5,729.88/8,594.40 = 1,781.04/x
  3. Step 3: Cross multiply
    5,729.88x = 8,594.40 × 1,781.04
  4. Step 4: Simplify right side
    5,729.88x = 15,306,970.18
  5. Step 5: Solve for x
    x = 15,306,970.18/5,729.88
  6. Step 6: Final answer
    x = 2,671.43

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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.