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Finding the Fourth Proportional to 3,901.59, 5,855.46 and 2,053.80

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Solution

The fourth proportional to 3,901.59, 5,855.46 and 2,053.80 is: 3,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.59 : 5,855.46 = 2,053.80 : x
  2. Step 2: Convert to fraction form
    3,901.59/5,855.46 = 2,053.80/x
  3. Step 3: Cross multiply
    3,901.59x = 5,855.46 × 2,053.80
  4. Step 4: Simplify right side
    3,901.59x = 12,025,943.75
  5. Step 5: Solve for x
    x = 12,025,943.75/3,901.59
  6. Step 6: Final answer
    x = 3,082.32

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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.