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Finding the Fourth Proportional to 5,682.66, 8,528.13 and 3,219.54

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Solution

The fourth proportional to 5,682.66, 8,528.13 and 3,219.54 is: 4,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.66 : 8,528.13 = 3,219.54 : x
  2. Step 2: Convert to fraction form
    5,682.66/8,528.13 = 3,219.54/x
  3. Step 3: Cross multiply
    5,682.66x = 8,528.13 × 3,219.54
  4. Step 4: Simplify right side
    5,682.66x = 27,456,655.66
  5. Step 5: Solve for x
    x = 27,456,655.66/5,682.66
  6. Step 6: Final answer
    x = 4,831.66

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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.