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Finding the Fourth Proportional to 4,187.68, 6,274.32 and 2,952.88

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Solution

The fourth proportional to 4,187.68, 6,274.32 and 2,952.88 is: 4,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.68 : 6,274.32 = 2,952.88 : x
  2. Step 2: Convert to fraction form
    4,187.68/6,274.32 = 2,952.88/x
  3. Step 3: Cross multiply
    4,187.68x = 6,274.32 × 2,952.88
  4. Step 4: Simplify right side
    4,187.68x = 18,527,314.04
  5. Step 5: Solve for x
    x = 18,527,314.04/4,187.68
  6. Step 6: Final answer
    x = 4,424.24

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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.