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Finding the Fourth Proportional to 3,685.91, 5,087.30 and 2,270.30

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Solution

The fourth proportional to 3,685.91, 5,087.30 and 2,270.30 is: 3,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.91 : 5,087.30 = 2,270.30 : x
  2. Step 2: Convert to fraction form
    3,685.91/5,087.30 = 2,270.30/x
  3. Step 3: Cross multiply
    3,685.91x = 5,087.30 × 2,270.30
  4. Step 4: Simplify right side
    3,685.91x = 11,549,660.40
  5. Step 5: Solve for x
    x = 11,549,660.40/3,685.91
  6. Step 6: Final answer
    x = 3,133.47

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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.