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Finding the Fourth Proportional to 5,150.16, 7,098.84 and 4,029.24

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Solution

The fourth proportional to 5,150.16, 7,098.84 and 4,029.24 is: 5,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.16 : 7,098.84 = 4,029.24 : x
  2. Step 2: Convert to fraction form
    5,150.16/7,098.84 = 4,029.24/x
  3. Step 3: Cross multiply
    5,150.16x = 7,098.84 × 4,029.24
  4. Step 4: Simplify right side
    5,150.16x = 28,602,930.08
  5. Step 5: Solve for x
    x = 28,602,930.08/5,150.16
  6. Step 6: Final answer
    x = 5,553.79

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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.