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Finding the Fourth Proportional to 4,113.05, 6,171.12 and 2,470.74

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Solution

The fourth proportional to 4,113.05, 6,171.12 and 2,470.74 is: 3,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.05 : 6,171.12 = 2,470.74 : x
  2. Step 2: Convert to fraction form
    4,113.05/6,171.12 = 2,470.74/x
  3. Step 3: Cross multiply
    4,113.05x = 6,171.12 × 2,470.74
  4. Step 4: Simplify right side
    4,113.05x = 15,247,233.03
  5. Step 5: Solve for x
    x = 15,247,233.03/4,113.05
  6. Step 6: Final answer
    x = 3,707.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.