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Finding the Fourth Proportional to 5,108.98, 7,046.16 and 4,314.15

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Solution

The fourth proportional to 5,108.98, 7,046.16 and 4,314.15 is: 5,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.98 : 7,046.16 = 4,314.15 : x
  2. Step 2: Convert to fraction form
    5,108.98/7,046.16 = 4,314.15/x
  3. Step 3: Cross multiply
    5,108.98x = 7,046.16 × 4,314.15
  4. Step 4: Simplify right side
    5,108.98x = 30,398,191.16
  5. Step 5: Solve for x
    x = 30,398,191.16/5,108.98
  6. Step 6: Final answer
    x = 5,949.95

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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.