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Finding the Fourth Proportional to 4,757.84, 6,566 and 2,661.96

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Solution

The fourth proportional to 4,757.84, 6,566 and 2,661.96 is: 3,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.84 : 6,566 = 2,661.96 : x
  2. Step 2: Convert to fraction form
    4,757.84/6,566 = 2,661.96/x
  3. Step 3: Cross multiply
    4,757.84x = 6,566 × 2,661.96
  4. Step 4: Simplify right side
    4,757.84x = 17,478,429.36
  5. Step 5: Solve for x
    x = 17,478,429.36/4,757.84
  6. Step 6: Final answer
    x = 3,673.61

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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.