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Finding the Fourth Proportional to 5,152.41, 7,116.12 and 3,470.87

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Solution

The fourth proportional to 5,152.41, 7,116.12 and 3,470.87 is: 4,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.41 : 7,116.12 = 3,470.87 : x
  2. Step 2: Convert to fraction form
    5,152.41/7,116.12 = 3,470.87/x
  3. Step 3: Cross multiply
    5,152.41x = 7,116.12 × 3,470.87
  4. Step 4: Simplify right side
    5,152.41x = 24,699,145.21
  5. Step 5: Solve for x
    x = 24,699,145.21/5,152.41
  6. Step 6: Final answer
    x = 4,793.71

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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.