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Finding the Fourth Proportional to 5,657.76, 8,471.25 and 3,314.30

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Solution

The fourth proportional to 5,657.76, 8,471.25 and 3,314.30 is: 4,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.76 : 8,471.25 = 3,314.30 : x
  2. Step 2: Convert to fraction form
    5,657.76/8,471.25 = 3,314.30/x
  3. Step 3: Cross multiply
    5,657.76x = 8,471.25 × 3,314.30
  4. Step 4: Simplify right side
    5,657.76x = 28,076,221.52
  5. Step 5: Solve for x
    x = 28,076,221.52/5,657.76
  6. Step 6: Final answer
    x = 4,962.43

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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.