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Finding the Fourth Proportional to 3,854.53, 5,781.66 and 1,257.49

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Solution

The fourth proportional to 3,854.53, 5,781.66 and 1,257.49 is: 1,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.53 : 5,781.66 = 1,257.49 : x
  2. Step 2: Convert to fraction form
    3,854.53/5,781.66 = 1,257.49/x
  3. Step 3: Cross multiply
    3,854.53x = 5,781.66 × 1,257.49
  4. Step 4: Simplify right side
    3,854.53x = 7,270,379.63
  5. Step 5: Solve for x
    x = 7,270,379.63/3,854.53
  6. Step 6: Final answer
    x = 1,886.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.