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Finding the Fourth Proportional to 3,983.60, 5,498.86 and 3,421.82

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Solution

The fourth proportional to 3,983.60, 5,498.86 and 3,421.82 is: 4,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.60 : 5,498.86 = 3,421.82 : x
  2. Step 2: Convert to fraction form
    3,983.60/5,498.86 = 3,421.82/x
  3. Step 3: Cross multiply
    3,983.60x = 5,498.86 × 3,421.82
  4. Step 4: Simplify right side
    3,983.60x = 18,816,109.13
  5. Step 5: Solve for x
    x = 18,816,109.13/3,983.60
  6. Step 6: Final answer
    x = 4,723.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.