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Finding the Fourth Proportional to 5,781.44, 8,672.48 and 2,494.40

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Solution

The fourth proportional to 5,781.44, 8,672.48 and 2,494.40 is: 3,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.44 : 8,672.48 = 2,494.40 : x
  2. Step 2: Convert to fraction form
    5,781.44/8,672.48 = 2,494.40/x
  3. Step 3: Cross multiply
    5,781.44x = 8,672.48 × 2,494.40
  4. Step 4: Simplify right side
    5,781.44x = 21,632,634.11
  5. Step 5: Solve for x
    x = 21,632,634.11/5,781.44
  6. Step 6: Final answer
    x = 3,741.74

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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.