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Finding the Fourth Proportional to 4,238.24, 5,848.52 and 2,375.20

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Solution

The fourth proportional to 4,238.24, 5,848.52 and 2,375.20 is: 3,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.24 : 5,848.52 = 2,375.20 : x
  2. Step 2: Convert to fraction form
    4,238.24/5,848.52 = 2,375.20/x
  3. Step 3: Cross multiply
    4,238.24x = 5,848.52 × 2,375.20
  4. Step 4: Simplify right side
    4,238.24x = 13,891,404.70
  5. Step 5: Solve for x
    x = 13,891,404.70/4,238.24
  6. Step 6: Final answer
    x = 3,277.64

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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.