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Finding the Fourth Proportional to 3,461.24, 5,191.89 and 864.18

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Solution

The fourth proportional to 3,461.24, 5,191.89 and 864.18 is: 1,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.24 : 5,191.89 = 864.18 : x
  2. Step 2: Convert to fraction form
    3,461.24/5,191.89 = 864.18/x
  3. Step 3: Cross multiply
    3,461.24x = 5,191.89 × 864.18
  4. Step 4: Simplify right side
    3,461.24x = 4,486,724.26
  5. Step 5: Solve for x
    x = 4,486,724.26/3,461.24
  6. Step 6: Final answer
    x = 1,296.28

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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.