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Finding the Fourth Proportional to 5,781.75, 8,672.76 and 1,886.15

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Solution

The fourth proportional to 5,781.75, 8,672.76 and 1,886.15 is: 2,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.75 : 8,672.76 = 1,886.15 : x
  2. Step 2: Convert to fraction form
    5,781.75/8,672.76 = 1,886.15/x
  3. Step 3: Cross multiply
    5,781.75x = 8,672.76 × 1,886.15
  4. Step 4: Simplify right side
    5,781.75x = 16,358,082.91
  5. Step 5: Solve for x
    x = 16,358,082.91/5,781.75
  6. Step 6: Final answer
    x = 2,829.26

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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.