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Finding the Fourth Proportional to 3,984.38, 5,498.38 and 2,216.01

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Solution

The fourth proportional to 3,984.38, 5,498.38 and 2,216.01 is: 3,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.38 : 5,498.38 = 2,216.01 : x
  2. Step 2: Convert to fraction form
    3,984.38/5,498.38 = 2,216.01/x
  3. Step 3: Cross multiply
    3,984.38x = 5,498.38 × 2,216.01
  4. Step 4: Simplify right side
    3,984.38x = 12,184,465.06
  5. Step 5: Solve for x
    x = 12,184,465.06/3,984.38
  6. Step 6: Final answer
    x = 3,058.06

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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.