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Finding the Fourth Proportional to 3,773.16, 5,655 and 2,677.80

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Solution

The fourth proportional to 3,773.16, 5,655 and 2,677.80 is: 4,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.16 : 5,655 = 2,677.80 : x
  2. Step 2: Convert to fraction form
    3,773.16/5,655 = 2,677.80/x
  3. Step 3: Cross multiply
    3,773.16x = 5,655 × 2,677.80
  4. Step 4: Simplify right side
    3,773.16x = 15,142,959.00
  5. Step 5: Solve for x
    x = 15,142,959.00/3,773.16
  6. Step 6: Final answer
    x = 4,013.34

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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.