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Finding the Fourth Proportional to 3,849.34, 5,310.20 and 2,356.78

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Solution

The fourth proportional to 3,849.34, 5,310.20 and 2,356.78 is: 3,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.34 : 5,310.20 = 2,356.78 : x
  2. Step 2: Convert to fraction form
    3,849.34/5,310.20 = 2,356.78/x
  3. Step 3: Cross multiply
    3,849.34x = 5,310.20 × 2,356.78
  4. Step 4: Simplify right side
    3,849.34x = 12,514,973.16
  5. Step 5: Solve for x
    x = 12,514,973.16/3,849.34
  6. Step 6: Final answer
    x = 3,251.20

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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.