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Finding the Fourth Proportional to 3,744.78, 5,168.16 and 2,066.58

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Solution

The fourth proportional to 3,744.78, 5,168.16 and 2,066.58 is: 2,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.78 : 5,168.16 = 2,066.58 : x
  2. Step 2: Convert to fraction form
    3,744.78/5,168.16 = 2,066.58/x
  3. Step 3: Cross multiply
    3,744.78x = 5,168.16 × 2,066.58
  4. Step 4: Simplify right side
    3,744.78x = 10,680,416.09
  5. Step 5: Solve for x
    x = 10,680,416.09/3,744.78
  6. Step 6: Final answer
    x = 2,852.08

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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.