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Finding the Fourth Proportional to 5,886.50, 8,821.24 and 3,283.97

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Solution

The fourth proportional to 5,886.50, 8,821.24 and 3,283.97 is: 4,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.50 : 8,821.24 = 3,283.97 : x
  2. Step 2: Convert to fraction form
    5,886.50/8,821.24 = 3,283.97/x
  3. Step 3: Cross multiply
    5,886.50x = 8,821.24 × 3,283.97
  4. Step 4: Simplify right side
    5,886.50x = 28,968,635.21
  5. Step 5: Solve for x
    x = 28,968,635.21/5,886.50
  6. Step 6: Final answer
    x = 4,921.20

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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.