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Finding the Fourth Proportional to 5,470.16, 7,546.04 and 3,701.12

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Solution

The fourth proportional to 5,470.16, 7,546.04 and 3,701.12 is: 5,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.16 : 7,546.04 = 3,701.12 : x
  2. Step 2: Convert to fraction form
    5,470.16/7,546.04 = 3,701.12/x
  3. Step 3: Cross multiply
    5,470.16x = 7,546.04 × 3,701.12
  4. Step 4: Simplify right side
    5,470.16x = 27,928,799.56
  5. Step 5: Solve for x
    x = 27,928,799.56/5,470.16
  6. Step 6: Final answer
    x = 5,105.66

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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.