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Finding the Fourth Proportional to 3,869.84, 5,340.22 and 2,101.40

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Solution

The fourth proportional to 3,869.84, 5,340.22 and 2,101.40 is: 2,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.84 : 5,340.22 = 2,101.40 : x
  2. Step 2: Convert to fraction form
    3,869.84/5,340.22 = 2,101.40/x
  3. Step 3: Cross multiply
    3,869.84x = 5,340.22 × 2,101.40
  4. Step 4: Simplify right side
    3,869.84x = 11,221,938.31
  5. Step 5: Solve for x
    x = 11,221,938.31/3,869.84
  6. Step 6: Final answer
    x = 2,899.85

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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.