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Finding the Fourth Proportional to 3,842.07, 5,302.12 and 2,270.16

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Solution

The fourth proportional to 3,842.07, 5,302.12 and 2,270.16 is: 3,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.07 : 5,302.12 = 2,270.16 : x
  2. Step 2: Convert to fraction form
    3,842.07/5,302.12 = 2,270.16/x
  3. Step 3: Cross multiply
    3,842.07x = 5,302.12 × 2,270.16
  4. Step 4: Simplify right side
    3,842.07x = 12,036,660.74
  5. Step 5: Solve for x
    x = 12,036,660.74/3,842.07
  6. Step 6: Final answer
    x = 3,132.86

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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.