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Finding the Fourth Proportional to 5,886.20, 8,829.30 and 3,261.80

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Solution

The fourth proportional to 5,886.20, 8,829.30 and 3,261.80 is: 4,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.20 : 8,829.30 = 3,261.80 : x
  2. Step 2: Convert to fraction form
    5,886.20/8,829.30 = 3,261.80/x
  3. Step 3: Cross multiply
    5,886.20x = 8,829.30 × 3,261.80
  4. Step 4: Simplify right side
    5,886.20x = 28,799,410.74
  5. Step 5: Solve for x
    x = 28,799,410.74/5,886.20
  6. Step 6: Final answer
    x = 4,892.70

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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.