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Finding the Fourth Proportional to 3,849.68, 5,307 and 2,964.08

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Solution

The fourth proportional to 3,849.68, 5,307 and 2,964.08 is: 4,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.68 : 5,307 = 2,964.08 : x
  2. Step 2: Convert to fraction form
    3,849.68/5,307 = 2,964.08/x
  3. Step 3: Cross multiply
    3,849.68x = 5,307 × 2,964.08
  4. Step 4: Simplify right side
    3,849.68x = 15,730,372.56
  5. Step 5: Solve for x
    x = 15,730,372.56/3,849.68
  6. Step 6: Final answer
    x = 4,086.15

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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.