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Finding the Fourth Proportional to 4,760.40, 6,571.64 and 3,169.69

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Solution

The fourth proportional to 4,760.40, 6,571.64 and 3,169.69 is: 4,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.40 : 6,571.64 = 3,169.69 : x
  2. Step 2: Convert to fraction form
    4,760.40/6,571.64 = 3,169.69/x
  3. Step 3: Cross multiply
    4,760.40x = 6,571.64 × 3,169.69
  4. Step 4: Simplify right side
    4,760.40x = 20,830,061.59
  5. Step 5: Solve for x
    x = 20,830,061.59/4,760.40
  6. Step 6: Final answer
    x = 4,375.70

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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.