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Finding the Fourth Proportional to 5,294.68, 7,306.95 and 2,936.77

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Solution

The fourth proportional to 5,294.68, 7,306.95 and 2,936.77 is: 4,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.68 : 7,306.95 = 2,936.77 : x
  2. Step 2: Convert to fraction form
    5,294.68/7,306.95 = 2,936.77/x
  3. Step 3: Cross multiply
    5,294.68x = 7,306.95 × 2,936.77
  4. Step 4: Simplify right side
    5,294.68x = 21,458,831.55
  5. Step 5: Solve for x
    x = 21,458,831.55/5,294.68
  6. Step 6: Final answer
    x = 4,052.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.