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Finding the Fourth Proportional to 3,464.30, 5,196.46 and 867.24

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Solution

The fourth proportional to 3,464.30, 5,196.46 and 867.24 is: 1,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.30 : 5,196.46 = 867.24 : x
  2. Step 2: Convert to fraction form
    3,464.30/5,196.46 = 867.24/x
  3. Step 3: Cross multiply
    3,464.30x = 5,196.46 × 867.24
  4. Step 4: Simplify right side
    3,464.30x = 4,506,575.80
  5. Step 5: Solve for x
    x = 4,506,575.80/3,464.30
  6. Step 6: Final answer
    x = 1,300.86

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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.