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Finding the Fourth Proportional to 5,754, 8,633.88 and 2,634

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Solution

The fourth proportional to 5,754, 8,633.88 and 2,634 is: 3,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754 : 8,633.88 = 2,634 : x
  2. Step 2: Convert to fraction form
    5,754/8,633.88 = 2,634/x
  3. Step 3: Cross multiply
    5,754x = 8,633.88 × 2,634
  4. Step 4: Simplify right side
    5,754x = 22,741,639.92
  5. Step 5: Solve for x
    x = 22,741,639.92/5,754
  6. Step 6: Final answer
    x = 3,952.32

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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.