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Finding the Fourth Proportional to 3,801.52, 5,712.31 and 2,047.82

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Solution

The fourth proportional to 3,801.52, 5,712.31 and 2,047.82 is: 3,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.52 : 5,712.31 = 2,047.82 : x
  2. Step 2: Convert to fraction form
    3,801.52/5,712.31 = 2,047.82/x
  3. Step 3: Cross multiply
    3,801.52x = 5,712.31 × 2,047.82
  4. Step 4: Simplify right side
    3,801.52x = 11,697,782.66
  5. Step 5: Solve for x
    x = 11,697,782.66/3,801.52
  6. Step 6: Final answer
    x = 3,077.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.