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Finding the Fourth Proportional to 5,801.65, 8,006.25 and 3,149.04

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Solution

The fourth proportional to 5,801.65, 8,006.25 and 3,149.04 is: 4,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.65 : 8,006.25 = 3,149.04 : x
  2. Step 2: Convert to fraction form
    5,801.65/8,006.25 = 3,149.04/x
  3. Step 3: Cross multiply
    5,801.65x = 8,006.25 × 3,149.04
  4. Step 4: Simplify right side
    5,801.65x = 25,211,961.47
  5. Step 5: Solve for x
    x = 25,211,961.47/5,801.65
  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.