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Finding the Fourth Proportional to 4,253.32, 6,371.34 and 2,197

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Solution

The fourth proportional to 4,253.32, 6,371.34 and 2,197 is: 3,291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.32 : 6,371.34 = 2,197 : x
  2. Step 2: Convert to fraction form
    4,253.32/6,371.34 = 2,197/x
  3. Step 3: Cross multiply
    4,253.32x = 6,371.34 × 2,197
  4. Step 4: Simplify right side
    4,253.32x = 13,997,833.98
  5. Step 5: Solve for x
    x = 13,997,833.98/4,253.32
  6. Step 6: Final answer
    x = 3,291.04

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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.