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Finding the Fourth Proportional to 5,134.88, 7,665.18 and 4,512.10

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Solution

The fourth proportional to 5,134.88, 7,665.18 and 4,512.10 is: 6,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.88 : 7,665.18 = 4,512.10 : x
  2. Step 2: Convert to fraction form
    5,134.88/7,665.18 = 4,512.10/x
  3. Step 3: Cross multiply
    5,134.88x = 7,665.18 × 4,512.10
  4. Step 4: Simplify right side
    5,134.88x = 34,586,036.12
  5. Step 5: Solve for x
    x = 34,586,036.12/5,134.88
  6. Step 6: Final answer
    x = 6,735.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.