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Finding the Fourth Proportional to 4,964.69, 6,839.71 and 3,470.24

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Solution

The fourth proportional to 4,964.69, 6,839.71 and 3,470.24 is: 4,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.69 : 6,839.71 = 3,470.24 : x
  2. Step 2: Convert to fraction form
    4,964.69/6,839.71 = 3,470.24/x
  3. Step 3: Cross multiply
    4,964.69x = 6,839.71 × 3,470.24
  4. Step 4: Simplify right side
    4,964.69x = 23,735,443.65
  5. Step 5: Solve for x
    x = 23,735,443.65/4,964.69
  6. Step 6: Final answer
    x = 4,780.85

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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.