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Finding the Fourth Proportional to 5,801.75, 8,006.21 and 3,149.10

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Solution

The fourth proportional to 5,801.75, 8,006.21 and 3,149.10 is: 4,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.75 : 8,006.21 = 3,149.10 : x
  2. Step 2: Convert to fraction form
    5,801.75/8,006.21 = 3,149.10/x
  3. Step 3: Cross multiply
    5,801.75x = 8,006.21 × 3,149.10
  4. Step 4: Simplify right side
    5,801.75x = 25,212,340.17
  5. Step 5: Solve for x
    x = 25,212,340.17/5,801.75
  6. Step 6: Final answer
    x = 4,345.65

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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.