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Finding the Fourth Proportional to 3,984.60, 5,498.76 and 2,216.22

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Solution

The fourth proportional to 3,984.60, 5,498.76 and 2,216.22 is: 3,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.60 : 5,498.76 = 2,216.22 : x
  2. Step 2: Convert to fraction form
    3,984.60/5,498.76 = 2,216.22/x
  3. Step 3: Cross multiply
    3,984.60x = 5,498.76 × 2,216.22
  4. Step 4: Simplify right side
    3,984.60x = 12,186,461.89
  5. Step 5: Solve for x
    x = 12,186,461.89/3,984.60
  6. Step 6: Final answer
    x = 3,058.39

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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.