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Finding the Fourth Proportional to 3,475.46, 5,213.19 and 1,168.58

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Solution

The fourth proportional to 3,475.46, 5,213.19 and 1,168.58 is: 1,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.46 : 5,213.19 = 1,168.58 : x
  2. Step 2: Convert to fraction form
    3,475.46/5,213.19 = 1,168.58/x
  3. Step 3: Cross multiply
    3,475.46x = 5,213.19 × 1,168.58
  4. Step 4: Simplify right side
    3,475.46x = 6,092,029.57
  5. Step 5: Solve for x
    x = 6,092,029.57/3,475.46
  6. Step 6: Final answer
    x = 1,752.87

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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.