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Finding the Fourth Proportional to 5,198.76, 7,176.90 and 4,017.16

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Solution

The fourth proportional to 5,198.76, 7,176.90 and 4,017.16 is: 5,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.76 : 7,176.90 = 4,017.16 : x
  2. Step 2: Convert to fraction form
    5,198.76/7,176.90 = 4,017.16/x
  3. Step 3: Cross multiply
    5,198.76x = 7,176.90 × 4,017.16
  4. Step 4: Simplify right side
    5,198.76x = 28,830,755.60
  5. Step 5: Solve for x
    x = 28,830,755.60/5,198.76
  6. Step 6: Final answer
    x = 5,545.70

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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.