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Finding the Fourth Proportional to 3,057.84, 4,217.94 and 2,665.80

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Solution

The fourth proportional to 3,057.84, 4,217.94 and 2,665.80 is: 3,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.84 : 4,217.94 = 2,665.80 : x
  2. Step 2: Convert to fraction form
    3,057.84/4,217.94 = 2,665.80/x
  3. Step 3: Cross multiply
    3,057.84x = 4,217.94 × 2,665.80
  4. Step 4: Simplify right side
    3,057.84x = 11,244,184.45
  5. Step 5: Solve for x
    x = 11,244,184.45/3,057.84
  6. Step 6: Final answer
    x = 3,677.17

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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.