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Finding the Fourth Proportional to 5,465.48, 8,193.15 and 2,180.84

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Solution

The fourth proportional to 5,465.48, 8,193.15 and 2,180.84 is: 3,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.48 : 8,193.15 = 2,180.84 : x
  2. Step 2: Convert to fraction form
    5,465.48/8,193.15 = 2,180.84/x
  3. Step 3: Cross multiply
    5,465.48x = 8,193.15 × 2,180.84
  4. Step 4: Simplify right side
    5,465.48x = 17,867,908.28
  5. Step 5: Solve for x
    x = 17,867,908.28/5,465.48
  6. Step 6: Final answer
    x = 3,269.23

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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.