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Finding the Fourth Proportional to 5,922.13, 8,883.20 and 1,539.22

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Solution

The fourth proportional to 5,922.13, 8,883.20 and 1,539.22 is: 2,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.13 : 8,883.20 = 1,539.22 : x
  2. Step 2: Convert to fraction form
    5,922.13/8,883.20 = 1,539.22/x
  3. Step 3: Cross multiply
    5,922.13x = 8,883.20 × 1,539.22
  4. Step 4: Simplify right side
    5,922.13x = 13,673,199.10
  5. Step 5: Solve for x
    x = 13,673,199.10/5,922.13
  6. Step 6: Final answer
    x = 2,308.83

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Similar ratio
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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.