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Finding the Fourth Proportional to 3,811.69, 5,260.25 and 2,300.05

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Solution

The fourth proportional to 3,811.69, 5,260.25 and 2,300.05 is: 3,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.69 : 5,260.25 = 2,300.05 : x
  2. Step 2: Convert to fraction form
    3,811.69/5,260.25 = 2,300.05/x
  3. Step 3: Cross multiply
    3,811.69x = 5,260.25 × 2,300.05
  4. Step 4: Simplify right side
    3,811.69x = 12,098,838.01
  5. Step 5: Solve for x
    x = 12,098,838.01/3,811.69
  6. Step 6: Final answer
    x = 3,174.14

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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.