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Finding the Fourth Proportional to 4,234.01, 5,842.80 and 2,371.01

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Solution

The fourth proportional to 4,234.01, 5,842.80 and 2,371.01 is: 3,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.01 : 5,842.80 = 2,371.01 : x
  2. Step 2: Convert to fraction form
    4,234.01/5,842.80 = 2,371.01/x
  3. Step 3: Cross multiply
    4,234.01x = 5,842.80 × 2,371.01
  4. Step 4: Simplify right side
    4,234.01x = 13,853,308.01
  5. Step 5: Solve for x
    x = 13,853,308.01/4,234.01
  6. Step 6: Final answer
    x = 3,271.92

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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.