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Finding the Fourth Proportional to 4,006.62, 5,977.76 and 3,591.90

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Solution

The fourth proportional to 4,006.62, 5,977.76 and 3,591.90 is: 5,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.62 : 5,977.76 = 3,591.90 : x
  2. Step 2: Convert to fraction form
    4,006.62/5,977.76 = 3,591.90/x
  3. Step 3: Cross multiply
    4,006.62x = 5,977.76 × 3,591.90
  4. Step 4: Simplify right side
    4,006.62x = 21,471,498.18
  5. Step 5: Solve for x
    x = 21,471,498.18/4,006.62
  6. Step 6: Final answer
    x = 5,359.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.