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Finding the Fourth Proportional to 5,098.20, 7,038.90 and 3,917.16

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Solution

The fourth proportional to 5,098.20, 7,038.90 and 3,917.16 is: 5,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.20 : 7,038.90 = 3,917.16 : x
  2. Step 2: Convert to fraction form
    5,098.20/7,038.90 = 3,917.16/x
  3. Step 3: Cross multiply
    5,098.20x = 7,038.90 × 3,917.16
  4. Step 4: Simplify right side
    5,098.20x = 27,572,497.52
  5. Step 5: Solve for x
    x = 27,572,497.52/5,098.20
  6. Step 6: Final answer
    x = 5,408.28

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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.