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Finding the Fourth Proportional to 5,872.87, 8,809.35 and 1,977.22

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Solution

The fourth proportional to 5,872.87, 8,809.35 and 1,977.22 is: 2,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.87 : 8,809.35 = 1,977.22 : x
  2. Step 2: Convert to fraction form
    5,872.87/8,809.35 = 1,977.22/x
  3. Step 3: Cross multiply
    5,872.87x = 8,809.35 × 1,977.22
  4. Step 4: Simplify right side
    5,872.87x = 17,418,023.01
  5. Step 5: Solve for x
    x = 17,418,023.01/5,872.87
  6. Step 6: Final answer
    x = 2,965.85

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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.