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Finding the Fourth Proportional to 5,886.90, 8,821.71 and 2,961.18

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Solution

The fourth proportional to 5,886.90, 8,821.71 and 2,961.18 is: 4,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.90 : 8,821.71 = 2,961.18 : x
  2. Step 2: Convert to fraction form
    5,886.90/8,821.71 = 2,961.18/x
  3. Step 3: Cross multiply
    5,886.90x = 8,821.71 × 2,961.18
  4. Step 4: Simplify right side
    5,886.90x = 26,122,700.68
  5. Step 5: Solve for x
    x = 26,122,700.68/5,886.90
  6. Step 6: Final answer
    x = 4,437.43

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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.