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Finding the Fourth Proportional to 4,196.52, 6,251.72 and 4,006.98

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Solution

The fourth proportional to 4,196.52, 6,251.72 and 4,006.98 is: 5,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.52 : 6,251.72 = 4,006.98 : x
  2. Step 2: Convert to fraction form
    4,196.52/6,251.72 = 4,006.98/x
  3. Step 3: Cross multiply
    4,196.52x = 6,251.72 × 4,006.98
  4. Step 4: Simplify right side
    4,196.52x = 25,050,517.01
  5. Step 5: Solve for x
    x = 25,050,517.01/4,196.52
  6. Step 6: Final answer
    x = 5,969.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.