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Finding the Fourth Proportional to 5,672.64, 8,501.78 and 2,548.20

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Solution

The fourth proportional to 5,672.64, 8,501.78 and 2,548.20 is: 3,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.64 : 8,501.78 = 2,548.20 : x
  2. Step 2: Convert to fraction form
    5,672.64/8,501.78 = 2,548.20/x
  3. Step 3: Cross multiply
    5,672.64x = 8,501.78 × 2,548.20
  4. Step 4: Simplify right side
    5,672.64x = 21,664,235.80
  5. Step 5: Solve for x
    x = 21,664,235.80/5,672.64
  6. Step 6: Final answer
    x = 3,819.07

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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.