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Finding the Fourth Proportional to 5,639.76, 7,783.66 and 3,282.66

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Solution

The fourth proportional to 5,639.76, 7,783.66 and 3,282.66 is: 4,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.76 : 7,783.66 = 3,282.66 : x
  2. Step 2: Convert to fraction form
    5,639.76/7,783.66 = 3,282.66/x
  3. Step 3: Cross multiply
    5,639.76x = 7,783.66 × 3,282.66
  4. Step 4: Simplify right side
    5,639.76x = 25,551,062.21
  5. Step 5: Solve for x
    x = 25,551,062.21/5,639.76
  6. Step 6: Final answer
    x = 4,530.53

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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.