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Finding the Fourth Proportional to 3,211.68, 4,818.86 and 1,568.24

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Solution

The fourth proportional to 3,211.68, 4,818.86 and 1,568.24 is: 2,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.68 : 4,818.86 = 1,568.24 : x
  2. Step 2: Convert to fraction form
    3,211.68/4,818.86 = 1,568.24/x
  3. Step 3: Cross multiply
    3,211.68x = 4,818.86 × 1,568.24
  4. Step 4: Simplify right side
    3,211.68x = 7,557,129.01
  5. Step 5: Solve for x
    x = 7,557,129.01/3,211.68
  6. Step 6: Final answer
    x = 2,353.01

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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.