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Finding the Fourth Proportional to 5,056.89, 6,974.14 and 3,287.85

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Solution

The fourth proportional to 5,056.89, 6,974.14 and 3,287.85 is: 4,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.89 : 6,974.14 = 3,287.85 : x
  2. Step 2: Convert to fraction form
    5,056.89/6,974.14 = 3,287.85/x
  3. Step 3: Cross multiply
    5,056.89x = 6,974.14 × 3,287.85
  4. Step 4: Simplify right side
    5,056.89x = 22,929,926.20
  5. Step 5: Solve for x
    x = 22,929,926.20/5,056.89
  6. Step 6: Final answer
    x = 4,534.39

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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.