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Finding the Fourth Proportional to 5,761.44, 8,642.16 and 1,657.44

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Solution

The fourth proportional to 5,761.44, 8,642.16 and 1,657.44 is: 2,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.44 : 8,642.16 = 1,657.44 : x
  2. Step 2: Convert to fraction form
    5,761.44/8,642.16 = 1,657.44/x
  3. Step 3: Cross multiply
    5,761.44x = 8,642.16 × 1,657.44
  4. Step 4: Simplify right side
    5,761.44x = 14,323,861.67
  5. Step 5: Solve for x
    x = 14,323,861.67/5,761.44
  6. Step 6: Final answer
    x = 2,486.16

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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.