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Finding the Fourth Proportional to 3,882.88, 5,820.71 and 1,415.90

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Solution

The fourth proportional to 3,882.88, 5,820.71 and 1,415.90 is: 2,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.88 : 5,820.71 = 1,415.90 : x
  2. Step 2: Convert to fraction form
    3,882.88/5,820.71 = 1,415.90/x
  3. Step 3: Cross multiply
    3,882.88x = 5,820.71 × 1,415.90
  4. Step 4: Simplify right side
    3,882.88x = 8,241,543.29
  5. Step 5: Solve for x
    x = 8,241,543.29/3,882.88
  6. Step 6: Final answer
    x = 2,122.53

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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.