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Finding the Fourth Proportional to 4,569.69, 6,854.46 and 1,449.57

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Solution

The fourth proportional to 4,569.69, 6,854.46 and 1,449.57 is: 2,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.69 : 6,854.46 = 1,449.57 : x
  2. Step 2: Convert to fraction form
    4,569.69/6,854.46 = 1,449.57/x
  3. Step 3: Cross multiply
    4,569.69x = 6,854.46 × 1,449.57
  4. Step 4: Simplify right side
    4,569.69x = 9,936,019.58
  5. Step 5: Solve for x
    x = 9,936,019.58/4,569.69
  6. Step 6: Final answer
    x = 2,174.33

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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.