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Finding the Fourth Proportional to 3,547.20, 5,321.04 and 1,082.24

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Solution

The fourth proportional to 3,547.20, 5,321.04 and 1,082.24 is: 1,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.20 : 5,321.04 = 1,082.24 : x
  2. Step 2: Convert to fraction form
    3,547.20/5,321.04 = 1,082.24/x
  3. Step 3: Cross multiply
    3,547.20x = 5,321.04 × 1,082.24
  4. Step 4: Simplify right side
    3,547.20x = 5,758,642.33
  5. Step 5: Solve for x
    x = 5,758,642.33/3,547.20
  6. Step 6: Final answer
    x = 1,623.43

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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.