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Finding the Fourth Proportional to 4,807.32, 6,634.41 and 2,711.43

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Solution

The fourth proportional to 4,807.32, 6,634.41 and 2,711.43 is: 3,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.32 : 6,634.41 = 2,711.43 : x
  2. Step 2: Convert to fraction form
    4,807.32/6,634.41 = 2,711.43/x
  3. Step 3: Cross multiply
    4,807.32x = 6,634.41 × 2,711.43
  4. Step 4: Simplify right side
    4,807.32x = 17,988,738.31
  5. Step 5: Solve for x
    x = 17,988,738.31/4,807.32
  6. Step 6: Final answer
    x = 3,741.95

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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.