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Finding the Fourth Proportional to 3,475.64, 5,213.49 and 1,167.14

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Solution

The fourth proportional to 3,475.64, 5,213.49 and 1,167.14 is: 1,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.64 : 5,213.49 = 1,167.14 : x
  2. Step 2: Convert to fraction form
    3,475.64/5,213.49 = 1,167.14/x
  3. Step 3: Cross multiply
    3,475.64x = 5,213.49 × 1,167.14
  4. Step 4: Simplify right side
    3,475.64x = 6,084,872.72
  5. Step 5: Solve for x
    x = 6,084,872.72/3,475.64
  6. Step 6: Final answer
    x = 1,750.72

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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.