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Finding the Fourth Proportional to 5,689.62, 8,534.43 and 1,794.02

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Solution

The fourth proportional to 5,689.62, 8,534.43 and 1,794.02 is: 2,691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.62 : 8,534.43 = 1,794.02 : x
  2. Step 2: Convert to fraction form
    5,689.62/8,534.43 = 1,794.02/x
  3. Step 3: Cross multiply
    5,689.62x = 8,534.43 × 1,794.02
  4. Step 4: Simplify right side
    5,689.62x = 15,310,959.88
  5. Step 5: Solve for x
    x = 15,310,959.88/5,689.62
  6. Step 6: Final answer
    x = 2,691.04

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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.