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Finding the Fourth Proportional to 5,934.42, 8,200.44 and 5,742.18

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Solution

The fourth proportional to 5,934.42, 8,200.44 and 5,742.18 is: 7,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.42 : 8,200.44 = 5,742.18 : x
  2. Step 2: Convert to fraction form
    5,934.42/8,200.44 = 5,742.18/x
  3. Step 3: Cross multiply
    5,934.42x = 8,200.44 × 5,742.18
  4. Step 4: Simplify right side
    5,934.42x = 47,088,402.56
  5. Step 5: Solve for x
    x = 47,088,402.56/5,934.42
  6. Step 6: Final answer
    x = 7,934.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.