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Finding the Fourth Proportional to 5,640.30, 7,784.10 and 3,282.66

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Solution

The fourth proportional to 5,640.30, 7,784.10 and 3,282.66 is: 4,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.30 : 7,784.10 = 3,282.66 : x
  2. Step 2: Convert to fraction form
    5,640.30/7,784.10 = 3,282.66/x
  3. Step 3: Cross multiply
    5,640.30x = 7,784.10 × 3,282.66
  4. Step 4: Simplify right side
    5,640.30x = 25,552,553.71
  5. Step 5: Solve for x
    x = 25,552,553.71/5,640.30
  6. Step 6: Final answer
    x = 4,530.35

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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.