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Finding the Fourth Proportional to 3,882.40, 5,357.79 and 2,114.01

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Solution

The fourth proportional to 3,882.40, 5,357.79 and 2,114.01 is: 2,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.40 : 5,357.79 = 2,114.01 : x
  2. Step 2: Convert to fraction form
    3,882.40/5,357.79 = 2,114.01/x
  3. Step 3: Cross multiply
    3,882.40x = 5,357.79 × 2,114.01
  4. Step 4: Simplify right side
    3,882.40x = 11,326,421.64
  5. Step 5: Solve for x
    x = 11,326,421.64/3,882.40
  6. Step 6: Final answer
    x = 2,917.38

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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.