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Finding the Fourth Proportional to 5,293.47, 7,941.06 and 2,006.85

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Solution

The fourth proportional to 5,293.47, 7,941.06 and 2,006.85 is: 3,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.47 : 7,941.06 = 2,006.85 : x
  2. Step 2: Convert to fraction form
    5,293.47/7,941.06 = 2,006.85/x
  3. Step 3: Cross multiply
    5,293.47x = 7,941.06 × 2,006.85
  4. Step 4: Simplify right side
    5,293.47x = 15,936,516.26
  5. Step 5: Solve for x
    x = 15,936,516.26/5,293.47
  6. Step 6: Final answer
    x = 3,010.60

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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.