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Finding the Fourth Proportional to 5,657.76, 7,805.58 and 4,169.24

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Solution

The fourth proportional to 5,657.76, 7,805.58 and 4,169.24 is: 5,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.76 : 7,805.58 = 4,169.24 : x
  2. Step 2: Convert to fraction form
    5,657.76/7,805.58 = 4,169.24/x
  3. Step 3: Cross multiply
    5,657.76x = 7,805.58 × 4,169.24
  4. Step 4: Simplify right side
    5,657.76x = 32,543,297.33
  5. Step 5: Solve for x
    x = 32,543,297.33/5,657.76
  6. Step 6: Final answer
    x = 5,751.98

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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.