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Finding the Fourth Proportional to 6,584.37, 9,880.19 and 2,688.47

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Solution

The fourth proportional to 6,584.37, 9,880.19 and 2,688.47 is: 4,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.37 : 9,880.19 = 2,688.47 : x
  2. Step 2: Convert to fraction form
    6,584.37/9,880.19 = 2,688.47/x
  3. Step 3: Cross multiply
    6,584.37x = 9,880.19 × 2,688.47
  4. Step 4: Simplify right side
    6,584.37x = 26,562,593.82
  5. Step 5: Solve for x
    x = 26,562,593.82/6,584.37
  6. Step 6: Final answer
    x = 4,034.19

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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.