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Finding the Fourth Proportional to 3,800.59, 5,244.46 and 2,206.82

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Solution

The fourth proportional to 3,800.59, 5,244.46 and 2,206.82 is: 3,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.59 : 5,244.46 = 2,206.82 : x
  2. Step 2: Convert to fraction form
    3,800.59/5,244.46 = 2,206.82/x
  3. Step 3: Cross multiply
    3,800.59x = 5,244.46 × 2,206.82
  4. Step 4: Simplify right side
    3,800.59x = 11,573,586.81
  5. Step 5: Solve for x
    x = 11,573,586.81/3,800.59
  6. Step 6: Final answer
    x = 3,045.21

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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.