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Finding the Fourth Proportional to 5,157.90, 7,115.88 and 3,165

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Solution

The fourth proportional to 5,157.90, 7,115.88 and 3,165 is: 4,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.90 : 7,115.88 = 3,165 : x
  2. Step 2: Convert to fraction form
    5,157.90/7,115.88 = 3,165/x
  3. Step 3: Cross multiply
    5,157.90x = 7,115.88 × 3,165
  4. Step 4: Simplify right side
    5,157.90x = 22,521,760.20
  5. Step 5: Solve for x
    x = 22,521,760.20/5,157.90
  6. Step 6: Final answer
    x = 4,366.46

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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.