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Finding the Fourth Proportional to 3,614.61, 5,422.27 and 982.15

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Solution

The fourth proportional to 3,614.61, 5,422.27 and 982.15 is: 1,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.61 : 5,422.27 = 982.15 : x
  2. Step 2: Convert to fraction form
    3,614.61/5,422.27 = 982.15/x
  3. Step 3: Cross multiply
    3,614.61x = 5,422.27 × 982.15
  4. Step 4: Simplify right side
    3,614.61x = 5,325,477.57
  5. Step 5: Solve for x
    x = 5,325,477.57/3,614.61
  6. Step 6: Final answer
    x = 1,473.32

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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.