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Finding the Fourth Proportional to 3,162.24, 4,710.96 and 3,127.68

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Solution

The fourth proportional to 3,162.24, 4,710.96 and 3,127.68 is: 4,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.24 : 4,710.96 = 3,127.68 : x
  2. Step 2: Convert to fraction form
    3,162.24/4,710.96 = 3,127.68/x
  3. Step 3: Cross multiply
    3,162.24x = 4,710.96 × 3,127.68
  4. Step 4: Simplify right side
    3,162.24x = 14,734,375.37
  5. Step 5: Solve for x
    x = 14,734,375.37/3,162.24
  6. Step 6: Final answer
    x = 4,659.47

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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.