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Finding the Fourth Proportional to 5,228.48, 7,843.44 and 1,766.24

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Solution

The fourth proportional to 5,228.48, 7,843.44 and 1,766.24 is: 2,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.48 : 7,843.44 = 1,766.24 : x
  2. Step 2: Convert to fraction form
    5,228.48/7,843.44 = 1,766.24/x
  3. Step 3: Cross multiply
    5,228.48x = 7,843.44 × 1,766.24
  4. Step 4: Simplify right side
    5,228.48x = 13,853,397.47
  5. Step 5: Solve for x
    x = 13,853,397.47/5,228.48
  6. Step 6: Final answer
    x = 2,649.60

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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.