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Finding the Fourth Proportional to 5,098.56, 7,038.17 and 3,109.83

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Solution

The fourth proportional to 5,098.56, 7,038.17 and 3,109.83 is: 4,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.56 : 7,038.17 = 3,109.83 : x
  2. Step 2: Convert to fraction form
    5,098.56/7,038.17 = 3,109.83/x
  3. Step 3: Cross multiply
    5,098.56x = 7,038.17 × 3,109.83
  4. Step 4: Simplify right side
    5,098.56x = 21,887,512.21
  5. Step 5: Solve for x
    x = 21,887,512.21/5,098.56
  6. Step 6: Final answer
    x = 4,292.88

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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.