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Finding the Fourth Proportional to 6,920.58, 10,380.84 and 3,220.77

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Solution

The fourth proportional to 6,920.58, 10,380.84 and 3,220.77 is: 4,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.58 : 10,380.84 = 3,220.77 : x
  2. Step 2: Convert to fraction form
    6,920.58/10,380.84 = 3,220.77/x
  3. Step 3: Cross multiply
    6,920.58x = 10,380.84 × 3,220.77
  4. Step 4: Simplify right side
    6,920.58x = 33,434,298.05
  5. Step 5: Solve for x
    x = 33,434,298.05/6,920.58
  6. Step 6: Final answer
    x = 4,831.14

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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.