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Finding the Fourth Proportional to 3,744.84, 5,168.36 and 3,114.28

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Solution

The fourth proportional to 3,744.84, 5,168.36 and 3,114.28 is: 4,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.84 : 5,168.36 = 3,114.28 : x
  2. Step 2: Convert to fraction form
    3,744.84/5,168.36 = 3,114.28/x
  3. Step 3: Cross multiply
    3,744.84x = 5,168.36 × 3,114.28
  4. Step 4: Simplify right side
    3,744.84x = 16,095,720.18
  5. Step 5: Solve for x
    x = 16,095,720.18/3,744.84
  6. Step 6: Final answer
    x = 4,298.11

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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.