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Finding the Fourth Proportional to 5,977.07, 8,965.53 and 2,687.84

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Solution

The fourth proportional to 5,977.07, 8,965.53 and 2,687.84 is: 4,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.07 : 8,965.53 = 2,687.84 : x
  2. Step 2: Convert to fraction form
    5,977.07/8,965.53 = 2,687.84/x
  3. Step 3: Cross multiply
    5,977.07x = 8,965.53 × 2,687.84
  4. Step 4: Simplify right side
    5,977.07x = 24,097,851.89
  5. Step 5: Solve for x
    x = 24,097,851.89/5,977.07
  6. Step 6: Final answer
    x = 4,031.72

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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.