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Finding the Fourth Proportional to 4,238.20, 5,848.70 and 2,375.16

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Solution

The fourth proportional to 4,238.20, 5,848.70 and 2,375.16 is: 3,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.20 : 5,848.70 = 2,375.16 : x
  2. Step 2: Convert to fraction form
    4,238.20/5,848.70 = 2,375.16/x
  3. Step 3: Cross multiply
    4,238.20x = 5,848.70 × 2,375.16
  4. Step 4: Simplify right side
    4,238.20x = 13,891,598.29
  5. Step 5: Solve for x
    x = 13,891,598.29/4,238.20
  6. Step 6: Final answer
    x = 3,277.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.