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Finding the Fourth Proportional to 4,569.26, 6,854.15 and 1,449.20

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Solution

The fourth proportional to 4,569.26, 6,854.15 and 1,449.20 is: 2,173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.26 : 6,854.15 = 1,449.20 : x
  2. Step 2: Convert to fraction form
    4,569.26/6,854.15 = 1,449.20/x
  3. Step 3: Cross multiply
    4,569.26x = 6,854.15 × 1,449.20
  4. Step 4: Simplify right side
    4,569.26x = 9,933,054.94
  5. Step 5: Solve for x
    x = 9,933,054.94/4,569.26
  6. Step 6: Final answer
    x = 2,173.89

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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.