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Finding the Fourth Proportional to 5,842.48, 8,764.86 and 2,144.74

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Solution

The fourth proportional to 5,842.48, 8,764.86 and 2,144.74 is: 3,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.48 : 8,764.86 = 2,144.74 : x
  2. Step 2: Convert to fraction form
    5,842.48/8,764.86 = 2,144.74/x
  3. Step 3: Cross multiply
    5,842.48x = 8,764.86 × 2,144.74
  4. Step 4: Simplify right side
    5,842.48x = 18,798,345.84
  5. Step 5: Solve for x
    x = 18,798,345.84/5,842.48
  6. Step 6: Final answer
    x = 3,217.53

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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.