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Finding the Fourth Proportional to 3,484.98, 5,216.67 and 2,180.34

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Solution

The fourth proportional to 3,484.98, 5,216.67 and 2,180.34 is: 3,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.98 : 5,216.67 = 2,180.34 : x
  2. Step 2: Convert to fraction form
    3,484.98/5,216.67 = 2,180.34/x
  3. Step 3: Cross multiply
    3,484.98x = 5,216.67 × 2,180.34
  4. Step 4: Simplify right side
    3,484.98x = 11,374,114.27
  5. Step 5: Solve for x
    x = 11,374,114.27/3,484.98
  6. Step 6: Final answer
    x = 3,263.75

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