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Finding the Fourth Proportional to 4,694.41, 6,470.83 and 3,698.11

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Solution

The fourth proportional to 4,694.41, 6,470.83 and 3,698.11 is: 5,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.41 : 6,470.83 = 3,698.11 : x
  2. Step 2: Convert to fraction form
    4,694.41/6,470.83 = 3,698.11/x
  3. Step 3: Cross multiply
    4,694.41x = 6,470.83 × 3,698.11
  4. Step 4: Simplify right side
    4,694.41x = 23,929,841.13
  5. Step 5: Solve for x
    x = 23,929,841.13/4,694.41
  6. Step 6: Final answer
    x = 5,097.52

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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.