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Finding the Fourth Proportional to 5,704.88, 8,537.85 and 4,781.48

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Solution

The fourth proportional to 5,704.88, 8,537.85 and 4,781.48 is: 7,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.88 : 8,537.85 = 4,781.48 : x
  2. Step 2: Convert to fraction form
    5,704.88/8,537.85 = 4,781.48/x
  3. Step 3: Cross multiply
    5,704.88x = 8,537.85 × 4,781.48
  4. Step 4: Simplify right side
    5,704.88x = 40,823,559.02
  5. Step 5: Solve for x
    x = 40,823,559.02/5,704.88
  6. Step 6: Final answer
    x = 7,155.90

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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.