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Finding the Fourth Proportional to 5,295.79, 7,943.96 and 2,009.15

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Solution

The fourth proportional to 5,295.79, 7,943.96 and 2,009.15 is: 3,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.79 : 7,943.96 = 2,009.15 : x
  2. Step 2: Convert to fraction form
    5,295.79/7,943.96 = 2,009.15/x
  3. Step 3: Cross multiply
    5,295.79x = 7,943.96 × 2,009.15
  4. Step 4: Simplify right side
    5,295.79x = 15,960,607.23
  5. Step 5: Solve for x
    x = 15,960,607.23/5,295.79
  6. Step 6: Final answer
    x = 3,013.83

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Why These Related Problems?

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