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Finding the Fourth Proportional to 5,294.07, 7,936.38 and 2,009.46

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Solution

The fourth proportional to 5,294.07, 7,936.38 and 2,009.46 is: 3,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.07 : 7,936.38 = 2,009.46 : x
  2. Step 2: Convert to fraction form
    5,294.07/7,936.38 = 2,009.46/x
  3. Step 3: Cross multiply
    5,294.07x = 7,936.38 × 2,009.46
  4. Step 4: Simplify right side
    5,294.07x = 15,947,838.15
  5. Step 5: Solve for x
    x = 15,947,838.15/5,294.07
  6. Step 6: Final answer
    x = 3,012.40

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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.