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Finding the Fourth Proportional to 3,883.92, 5,824.45 and 1,418.01

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Solution

The fourth proportional to 3,883.92, 5,824.45 and 1,418.01 is: 2,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.92 : 5,824.45 = 1,418.01 : x
  2. Step 2: Convert to fraction form
    3,883.92/5,824.45 = 1,418.01/x
  3. Step 3: Cross multiply
    3,883.92x = 5,824.45 × 1,418.01
  4. Step 4: Simplify right side
    3,883.92x = 8,259,128.34
  5. Step 5: Solve for x
    x = 8,259,128.34/3,883.92
  6. Step 6: Final answer
    x = 2,126.49

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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.