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Finding the Fourth Proportional to 3,966.88, 5,952.80 and 2,019.84

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Solution

The fourth proportional to 3,966.88, 5,952.80 and 2,019.84 is: 3,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.88 : 5,952.80 = 2,019.84 : x
  2. Step 2: Convert to fraction form
    3,966.88/5,952.80 = 2,019.84/x
  3. Step 3: Cross multiply
    3,966.88x = 5,952.80 × 2,019.84
  4. Step 4: Simplify right side
    3,966.88x = 12,023,703.55
  5. Step 5: Solve for x
    x = 12,023,703.55/3,966.88
  6. Step 6: Final answer
    x = 3,031.02

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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.