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Finding the Fourth Proportional to 3,511.88, 4,846.36 and 2,019.81

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Solution

The fourth proportional to 3,511.88, 4,846.36 and 2,019.81 is: 2,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.88 : 4,846.36 = 2,019.81 : x
  2. Step 2: Convert to fraction form
    3,511.88/4,846.36 = 2,019.81/x
  3. Step 3: Cross multiply
    3,511.88x = 4,846.36 × 2,019.81
  4. Step 4: Simplify right side
    3,511.88x = 9,788,726.39
  5. Step 5: Solve for x
    x = 9,788,726.39/3,511.88
  6. Step 6: Final answer
    x = 2,787.32

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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.