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Finding the Fourth Proportional to 3,376.52, 4,658 and 2,197.16

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Solution

The fourth proportional to 3,376.52, 4,658 and 2,197.16 is: 3,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.52 : 4,658 = 2,197.16 : x
  2. Step 2: Convert to fraction form
    3,376.52/4,658 = 2,197.16/x
  3. Step 3: Cross multiply
    3,376.52x = 4,658 × 2,197.16
  4. Step 4: Simplify right side
    3,376.52x = 10,234,371.28
  5. Step 5: Solve for x
    x = 10,234,371.28/3,376.52
  6. Step 6: Final answer
    x = 3,031.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.