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Finding the Fourth Proportional to 3,678.84, 5,077.74 and 2,280.78

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Solution

The fourth proportional to 3,678.84, 5,077.74 and 2,280.78 is: 3,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.84 : 5,077.74 = 2,280.78 : x
  2. Step 2: Convert to fraction form
    3,678.84/5,077.74 = 2,280.78/x
  3. Step 3: Cross multiply
    3,678.84x = 5,077.74 × 2,280.78
  4. Step 4: Simplify right side
    3,678.84x = 11,581,207.84
  5. Step 5: Solve for x
    x = 11,581,207.84/3,678.84
  6. Step 6: Final answer
    x = 3,148.06

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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.