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Finding the Fourth Proportional to 5,311.57, 7,329.37 and 3,187.18

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Solution

The fourth proportional to 5,311.57, 7,329.37 and 3,187.18 is: 4,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.57 : 7,329.37 = 3,187.18 : x
  2. Step 2: Convert to fraction form
    5,311.57/7,329.37 = 3,187.18/x
  3. Step 3: Cross multiply
    5,311.57x = 7,329.37 × 3,187.18
  4. Step 4: Simplify right side
    5,311.57x = 23,360,021.48
  5. Step 5: Solve for x
    x = 23,360,021.48/5,311.57
  6. Step 6: Final answer
    x = 4,397.95

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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.