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Finding the Fourth Proportional to 3,798.47, 5,240.31 and 2,305.82

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Solution

The fourth proportional to 3,798.47, 5,240.31 and 2,305.82 is: 3,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.47 : 5,240.31 = 2,305.82 : x
  2. Step 2: Convert to fraction form
    3,798.47/5,240.31 = 2,305.82/x
  3. Step 3: Cross multiply
    3,798.47x = 5,240.31 × 2,305.82
  4. Step 4: Simplify right side
    3,798.47x = 12,083,211.60
  5. Step 5: Solve for x
    x = 12,083,211.60/3,798.47
  6. Step 6: Final answer
    x = 3,181.07

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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.