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Finding the Fourth Proportional to 3,698.66, 5,108.35 and 2,517.68

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Solution

The fourth proportional to 3,698.66, 5,108.35 and 2,517.68 is: 3,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.66 : 5,108.35 = 2,517.68 : x
  2. Step 2: Convert to fraction form
    3,698.66/5,108.35 = 2,517.68/x
  3. Step 3: Cross multiply
    3,698.66x = 5,108.35 × 2,517.68
  4. Step 4: Simplify right side
    3,698.66x = 12,861,165.09
  5. Step 5: Solve for x
    x = 12,861,165.09/3,698.66
  6. Step 6: Final answer
    x = 3,477.25

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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.