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Finding the Fourth Proportional to 5,851.64, 8,072.87 and 4,254.78

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Solution

The fourth proportional to 5,851.64, 8,072.87 and 4,254.78 is: 5,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.64 : 8,072.87 = 4,254.78 : x
  2. Step 2: Convert to fraction form
    5,851.64/8,072.87 = 4,254.78/x
  3. Step 3: Cross multiply
    5,851.64x = 8,072.87 × 4,254.78
  4. Step 4: Simplify right side
    5,851.64x = 34,348,294.82
  5. Step 5: Solve for x
    x = 34,348,294.82/5,851.64
  6. Step 6: Final answer
    x = 5,869.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.