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Finding the Fourth Proportional to 5,489.60, 7,566.84 and 4,308.68

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Solution

The fourth proportional to 5,489.60, 7,566.84 and 4,308.68 is: 5,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.60 : 7,566.84 = 4,308.68 : x
  2. Step 2: Convert to fraction form
    5,489.60/7,566.84 = 4,308.68/x
  3. Step 3: Cross multiply
    5,489.60x = 7,566.84 × 4,308.68
  4. Step 4: Simplify right side
    5,489.60x = 32,603,092.17
  5. Step 5: Solve for x
    x = 32,603,092.17/5,489.60
  6. Step 6: Final answer
    x = 5,939.07

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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.