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Finding the Fourth Proportional to 5,264.38, 7,264.74 and 2,906.47

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Solution

The fourth proportional to 5,264.38, 7,264.74 and 2,906.47 is: 4,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.38 : 7,264.74 = 2,906.47 : x
  2. Step 2: Convert to fraction form
    5,264.38/7,264.74 = 2,906.47/x
  3. Step 3: Cross multiply
    5,264.38x = 7,264.74 × 2,906.47
  4. Step 4: Simplify right side
    5,264.38x = 21,114,748.87
  5. Step 5: Solve for x
    x = 21,114,748.87/5,264.38
  6. Step 6: Final answer
    x = 4,010.87

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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.