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Finding the Fourth Proportional to 5,264.53, 7,897.01 and 2,144.49

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Solution

The fourth proportional to 5,264.53, 7,897.01 and 2,144.49 is: 3,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.53 : 7,897.01 = 2,144.49 : x
  2. Step 2: Convert to fraction form
    5,264.53/7,897.01 = 2,144.49/x
  3. Step 3: Cross multiply
    5,264.53x = 7,897.01 × 2,144.49
  4. Step 4: Simplify right side
    5,264.53x = 16,935,058.97
  5. Step 5: Solve for x
    x = 16,935,058.97/5,264.53
  6. Step 6: Final answer
    x = 3,216.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.