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Finding the Fourth Proportional to 5,165.84, 7,751.88 and 2,244.24

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Solution

The fourth proportional to 5,165.84, 7,751.88 and 2,244.24 is: 3,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.84 : 7,751.88 = 2,244.24 : x
  2. Step 2: Convert to fraction form
    5,165.84/7,751.88 = 2,244.24/x
  3. Step 3: Cross multiply
    5,165.84x = 7,751.88 × 2,244.24
  4. Step 4: Simplify right side
    5,165.84x = 17,397,079.17
  5. Step 5: Solve for x
    x = 17,397,079.17/5,165.84
  6. Step 6: Final answer
    x = 3,367.72

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1.5x scale

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.