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Finding the Fourth Proportional to 3,464.35, 5,196.52 and 867.29

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Solution

The fourth proportional to 3,464.35, 5,196.52 and 867.29 is: 1,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.35 : 5,196.52 = 867.29 : x
  2. Step 2: Convert to fraction form
    3,464.35/5,196.52 = 867.29/x
  3. Step 3: Cross multiply
    3,464.35x = 5,196.52 × 867.29
  4. Step 4: Simplify right side
    3,464.35x = 4,506,861.68
  5. Step 5: Solve for x
    x = 4,506,861.68/3,464.35
  6. Step 6: Final answer
    x = 1,300.93

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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.