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Finding the Fourth Proportional to 5,689.22, 7,851.40 and 3,171.53

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Solution

The fourth proportional to 5,689.22, 7,851.40 and 3,171.53 is: 4,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.22 : 7,851.40 = 3,171.53 : x
  2. Step 2: Convert to fraction form
    5,689.22/7,851.40 = 3,171.53/x
  3. Step 3: Cross multiply
    5,689.22x = 7,851.40 × 3,171.53
  4. Step 4: Simplify right side
    5,689.22x = 24,900,962.34
  5. Step 5: Solve for x
    x = 24,900,962.34/5,689.22
  6. Step 6: Final answer
    x = 4,376.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.