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Finding the Fourth Proportional to 5,677.88, 8,504.46 and 2,750

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Solution

The fourth proportional to 5,677.88, 8,504.46 and 2,750 is: 4,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.88 : 8,504.46 = 2,750 : x
  2. Step 2: Convert to fraction form
    5,677.88/8,504.46 = 2,750/x
  3. Step 3: Cross multiply
    5,677.88x = 8,504.46 × 2,750
  4. Step 4: Simplify right side
    5,677.88x = 23,387,265.00
  5. Step 5: Solve for x
    x = 23,387,265.00/5,677.88
  6. Step 6: Final answer
    x = 4,119.01

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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.