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Finding the Fourth Proportional to 3,882.69, 5,364.39 and 2,709

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Solution

The fourth proportional to 3,882.69, 5,364.39 and 2,709 is: 3,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.69 : 5,364.39 = 2,709 : x
  2. Step 2: Convert to fraction form
    3,882.69/5,364.39 = 2,709/x
  3. Step 3: Cross multiply
    3,882.69x = 5,364.39 × 2,709
  4. Step 4: Simplify right side
    3,882.69x = 14,532,132.51
  5. Step 5: Solve for x
    x = 14,532,132.51/3,882.69
  6. Step 6: Final answer
    x = 3,742.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.