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Finding the Fourth Proportional to 4,891.84, 7,340.39 and 3,249.16

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Solution

The fourth proportional to 4,891.84, 7,340.39 and 3,249.16 is: 4,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.84 : 7,340.39 = 3,249.16 : x
  2. Step 2: Convert to fraction form
    4,891.84/7,340.39 = 3,249.16/x
  3. Step 3: Cross multiply
    4,891.84x = 7,340.39 × 3,249.16
  4. Step 4: Simplify right side
    4,891.84x = 23,850,101.57
  5. Step 5: Solve for x
    x = 23,850,101.57/4,891.84
  6. Step 6: Final answer
    x = 4,875.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.