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Finding the Fourth Proportional to 5,734.93, 8,590.67 and 3,387.86

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Solution

The fourth proportional to 5,734.93, 8,590.67 and 3,387.86 is: 5,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.93 : 8,590.67 = 3,387.86 : x
  2. Step 2: Convert to fraction form
    5,734.93/8,590.67 = 3,387.86/x
  3. Step 3: Cross multiply
    5,734.93x = 8,590.67 × 3,387.86
  4. Step 4: Simplify right side
    5,734.93x = 29,103,987.27
  5. Step 5: Solve for x
    x = 29,103,987.27/5,734.93
  6. Step 6: Final answer
    x = 5,074.86

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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.