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Finding the Fourth Proportional to 3,837.02, 5,294.89 and 2,264.81

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Solution

The fourth proportional to 3,837.02, 5,294.89 and 2,264.81 is: 3,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.02 : 5,294.89 = 2,264.81 : x
  2. Step 2: Convert to fraction form
    3,837.02/5,294.89 = 2,264.81/x
  3. Step 3: Cross multiply
    3,837.02x = 5,294.89 × 2,264.81
  4. Step 4: Simplify right side
    3,837.02x = 11,991,887.68
  5. Step 5: Solve for x
    x = 11,991,887.68/3,837.02
  6. Step 6: Final answer
    x = 3,125.32

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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.