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Finding the Fourth Proportional to 3,617.16, 5,426.04 and 1,020.12

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Solution

The fourth proportional to 3,617.16, 5,426.04 and 1,020.12 is: 1,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.16 : 5,426.04 = 1,020.12 : x
  2. Step 2: Convert to fraction form
    3,617.16/5,426.04 = 1,020.12/x
  3. Step 3: Cross multiply
    3,617.16x = 5,426.04 × 1,020.12
  4. Step 4: Simplify right side
    3,617.16x = 5,535,211.92
  5. Step 5: Solve for x
    x = 5,535,211.92/3,617.16
  6. Step 6: Final answer
    x = 1,530.26

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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.