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Finding the Fourth Proportional to 5,801.65, 8,006.29 and 3,149.06

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Solution

The fourth proportional to 5,801.65, 8,006.29 and 3,149.06 is: 4,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.65 : 8,006.29 = 3,149.06 : x
  2. Step 2: Convert to fraction form
    5,801.65/8,006.29 = 3,149.06/x
  3. Step 3: Cross multiply
    5,801.65x = 8,006.29 × 3,149.06
  4. Step 4: Simplify right side
    5,801.65x = 25,212,269.71
  5. Step 5: Solve for x
    x = 25,212,269.71/5,801.65
  6. Step 6: Final answer
    x = 4,345.71

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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.