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Finding the Fourth Proportional to 4,709.73, 6,497.78 and 2,940.69

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Solution

The fourth proportional to 4,709.73, 6,497.78 and 2,940.69 is: 4,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.73 : 6,497.78 = 2,940.69 : x
  2. Step 2: Convert to fraction form
    4,709.73/6,497.78 = 2,940.69/x
  3. Step 3: Cross multiply
    4,709.73x = 6,497.78 × 2,940.69
  4. Step 4: Simplify right side
    4,709.73x = 19,107,941.96
  5. Step 5: Solve for x
    x = 19,107,941.96/4,709.73
  6. Step 6: Final answer
    x = 4,057.12

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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.