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Finding the Fourth Proportional to 5,412.20, 7,470.97 and 4,085.42

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Solution

The fourth proportional to 5,412.20, 7,470.97 and 4,085.42 is: 5,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.20 : 7,470.97 = 4,085.42 : x
  2. Step 2: Convert to fraction form
    5,412.20/7,470.97 = 4,085.42/x
  3. Step 3: Cross multiply
    5,412.20x = 7,470.97 × 4,085.42
  4. Step 4: Simplify right side
    5,412.20x = 30,522,002.69
  5. Step 5: Solve for x
    x = 30,522,002.69/5,412.20
  6. Step 6: Final answer
    x = 5,639.49

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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.