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Finding the Fourth Proportional to 5,901.84, 8,856 and 2,206.62

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Solution

The fourth proportional to 5,901.84, 8,856 and 2,206.62 is: 3,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.84 : 8,856 = 2,206.62 : x
  2. Step 2: Convert to fraction form
    5,901.84/8,856 = 2,206.62/x
  3. Step 3: Cross multiply
    5,901.84x = 8,856 × 2,206.62
  4. Step 4: Simplify right side
    5,901.84x = 19,541,826.72
  5. Step 5: Solve for x
    x = 19,541,826.72/5,901.84
  6. Step 6: Final answer
    x = 3,311.14

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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.