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Finding the Fourth Proportional to 5,901.83, 8,144.55 and 3,384

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Solution

The fourth proportional to 5,901.83, 8,144.55 and 3,384 is: 4,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.83 : 8,144.55 = 3,384 : x
  2. Step 2: Convert to fraction form
    5,901.83/8,144.55 = 3,384/x
  3. Step 3: Cross multiply
    5,901.83x = 8,144.55 × 3,384
  4. Step 4: Simplify right side
    5,901.83x = 27,561,157.20
  5. Step 5: Solve for x
    x = 27,561,157.20/5,901.83
  6. Step 6: Final answer
    x = 4,669.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.