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Finding the Fourth Proportional to 5,486.47, 8,224.84 and 4,193.71

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Solution

The fourth proportional to 5,486.47, 8,224.84 and 4,193.71 is: 6,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.47 : 8,224.84 = 4,193.71 : x
  2. Step 2: Convert to fraction form
    5,486.47/8,224.84 = 4,193.71/x
  3. Step 3: Cross multiply
    5,486.47x = 8,224.84 × 4,193.71
  4. Step 4: Simplify right side
    5,486.47x = 34,492,593.76
  5. Step 5: Solve for x
    x = 34,492,593.76/5,486.47
  6. Step 6: Final answer
    x = 6,286.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.