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Finding the Fourth Proportional to 3,791.58, 5,228.01 and 2,849.10

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Solution

The fourth proportional to 3,791.58, 5,228.01 and 2,849.10 is: 3,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.58 : 5,228.01 = 2,849.10 : x
  2. Step 2: Convert to fraction form
    3,791.58/5,228.01 = 2,849.10/x
  3. Step 3: Cross multiply
    3,791.58x = 5,228.01 × 2,849.10
  4. Step 4: Simplify right side
    3,791.58x = 14,895,123.29
  5. Step 5: Solve for x
    x = 14,895,123.29/3,791.58
  6. Step 6: Final answer
    x = 3,928.47

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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.