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Finding the Fourth Proportional to 3,744.84, 5,167.16 and 2,328.92

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Solution

The fourth proportional to 3,744.84, 5,167.16 and 2,328.92 is: 3,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.84 : 5,167.16 = 2,328.92 : x
  2. Step 2: Convert to fraction form
    3,744.84/5,167.16 = 2,328.92/x
  3. Step 3: Cross multiply
    3,744.84x = 5,167.16 × 2,328.92
  4. Step 4: Simplify right side
    3,744.84x = 12,033,902.27
  5. Step 5: Solve for x
    x = 12,033,902.27/3,744.84
  6. Step 6: Final answer
    x = 3,213.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.