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Finding the Fourth Proportional to 3,580.84, 4,942.20 and 2,088.70

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Solution

The fourth proportional to 3,580.84, 4,942.20 and 2,088.70 is: 2,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.84 : 4,942.20 = 2,088.70 : x
  2. Step 2: Convert to fraction form
    3,580.84/4,942.20 = 2,088.70/x
  3. Step 3: Cross multiply
    3,580.84x = 4,942.20 × 2,088.70
  4. Step 4: Simplify right side
    3,580.84x = 10,322,773.14
  5. Step 5: Solve for x
    x = 10,322,773.14/3,580.84
  6. Step 6: Final answer
    x = 2,882.78

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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.