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Finding the Fourth Proportional to 3,877.28, 5,785.36 and 3,642.14

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Solution

The fourth proportional to 3,877.28, 5,785.36 and 3,642.14 is: 5,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.28 : 5,785.36 = 3,642.14 : x
  2. Step 2: Convert to fraction form
    3,877.28/5,785.36 = 3,642.14/x
  3. Step 3: Cross multiply
    3,877.28x = 5,785.36 × 3,642.14
  4. Step 4: Simplify right side
    3,877.28x = 21,071,091.07
  5. Step 5: Solve for x
    x = 21,071,091.07/3,877.28
  6. Step 6: Final answer
    x = 5,434.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.