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Finding the Fourth Proportional to 5,263.38, 7,256.77 and 3,727

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Solution

The fourth proportional to 5,263.38, 7,256.77 and 3,727 is: 5,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.38 : 7,256.77 = 3,727 : x
  2. Step 2: Convert to fraction form
    5,263.38/7,256.77 = 3,727/x
  3. Step 3: Cross multiply
    5,263.38x = 7,256.77 × 3,727
  4. Step 4: Simplify right side
    5,263.38x = 27,045,981.79
  5. Step 5: Solve for x
    x = 27,045,981.79/5,263.38
  6. Step 6: Final answer
    x = 5,138.52

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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.