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Finding the Fourth Proportional to 3,952, 5,453.76 and 2,296.96

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Solution

The fourth proportional to 3,952, 5,453.76 and 2,296.96 is: 3,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952 : 5,453.76 = 2,296.96 : x
  2. Step 2: Convert to fraction form
    3,952/5,453.76 = 2,296.96/x
  3. Step 3: Cross multiply
    3,952x = 5,453.76 × 2,296.96
  4. Step 4: Simplify right side
    3,952x = 12,527,068.57
  5. Step 5: Solve for x
    x = 12,527,068.57/3,952
  6. Step 6: Final answer
    x = 3,169.80

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Why These Related Problems?

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