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Finding the Fourth Proportional to 5,648.65, 8,478.17 and 2,877.32

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Solution

The fourth proportional to 5,648.65, 8,478.17 and 2,877.32 is: 4,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.65 : 8,478.17 = 2,877.32 : x
  2. Step 2: Convert to fraction form
    5,648.65/8,478.17 = 2,877.32/x
  3. Step 3: Cross multiply
    5,648.65x = 8,478.17 × 2,877.32
  4. Step 4: Simplify right side
    5,648.65x = 24,394,408.10
  5. Step 5: Solve for x
    x = 24,394,408.10/5,648.65
  6. Step 6: Final answer
    x = 4,318.63

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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.