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Finding the Fourth Proportional to 4,568.57, 6,853.70 and 1,449.36

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Solution

The fourth proportional to 4,568.57, 6,853.70 and 1,449.36 is: 2,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.57 : 6,853.70 = 1,449.36 : x
  2. Step 2: Convert to fraction form
    4,568.57/6,853.70 = 1,449.36/x
  3. Step 3: Cross multiply
    4,568.57x = 6,853.70 × 1,449.36
  4. Step 4: Simplify right side
    4,568.57x = 9,933,471.39
  5. Step 5: Solve for x
    x = 9,933,471.39/4,568.57
  6. Step 6: Final answer
    x = 2,174.31

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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.