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Finding the Fourth Proportional to 4,251.56, 6,378.98 and 1,478.52

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Solution

The fourth proportional to 4,251.56, 6,378.98 and 1,478.52 is: 2,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.56 : 6,378.98 = 1,478.52 : x
  2. Step 2: Convert to fraction form
    4,251.56/6,378.98 = 1,478.52/x
  3. Step 3: Cross multiply
    4,251.56x = 6,378.98 × 1,478.52
  4. Step 4: Simplify right side
    4,251.56x = 9,431,449.51
  5. Step 5: Solve for x
    x = 9,431,449.51/4,251.56
  6. Step 6: Final answer
    x = 2,218.35

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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.