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Finding the Fourth Proportional to 3,251.52, 4,477.44 and 3,178.88

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Solution

The fourth proportional to 3,251.52, 4,477.44 and 3,178.88 is: 4,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.52 : 4,477.44 = 3,178.88 : x
  2. Step 2: Convert to fraction form
    3,251.52/4,477.44 = 3,178.88/x
  3. Step 3: Cross multiply
    3,251.52x = 4,477.44 × 3,178.88
  4. Step 4: Simplify right side
    3,251.52x = 14,233,244.47
  5. Step 5: Solve for x
    x = 14,233,244.47/3,251.52
  6. Step 6: Final answer
    x = 4,377.41

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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.