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Finding the Fourth Proportional to 4,709.70, 6,497.75 and 3,294.97

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Solution

The fourth proportional to 4,709.70, 6,497.75 and 3,294.97 is: 4,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.70 : 6,497.75 = 3,294.97 : x
  2. Step 2: Convert to fraction form
    4,709.70/6,497.75 = 3,294.97/x
  3. Step 3: Cross multiply
    4,709.70x = 6,497.75 × 3,294.97
  4. Step 4: Simplify right side
    4,709.70x = 21,409,883.31
  5. Step 5: Solve for x
    x = 21,409,883.31/4,709.70
  6. Step 6: Final answer
    x = 4,545.91

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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.