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Finding the Fourth Proportional to 5,276, 7,908.82 and 2,937.13

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Solution

The fourth proportional to 5,276, 7,908.82 and 2,937.13 is: 4,402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276 : 7,908.82 = 2,937.13 : x
  2. Step 2: Convert to fraction form
    5,276/7,908.82 = 2,937.13/x
  3. Step 3: Cross multiply
    5,276x = 7,908.82 × 2,937.13
  4. Step 4: Simplify right side
    5,276x = 23,229,232.49
  5. Step 5: Solve for x
    x = 23,229,232.49/5,276
  6. Step 6: Final answer
    x = 4,402.81

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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.