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Finding the Fourth Proportional to 3,984.84, 5,499 and 2,216.39

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Solution

The fourth proportional to 3,984.84, 5,499 and 2,216.39 is: 3,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.84 : 5,499 = 2,216.39 : x
  2. Step 2: Convert to fraction form
    3,984.84/5,499 = 2,216.39/x
  3. Step 3: Cross multiply
    3,984.84x = 5,499 × 2,216.39
  4. Step 4: Simplify right side
    3,984.84x = 12,187,901.12
  5. Step 5: Solve for x
    x = 12,187,901.12/3,984.84
  6. Step 6: Final answer
    x = 3,058.57

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1.5x scale

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.