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Finding the Fourth Proportional to 3,698.06, 5,550.63 and 2,314.17

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Solution

The fourth proportional to 3,698.06, 5,550.63 and 2,314.17 is: 3,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.06 : 5,550.63 = 2,314.17 : x
  2. Step 2: Convert to fraction form
    3,698.06/5,550.63 = 2,314.17/x
  3. Step 3: Cross multiply
    3,698.06x = 5,550.63 × 2,314.17
  4. Step 4: Simplify right side
    3,698.06x = 12,845,092.75
  5. Step 5: Solve for x
    x = 12,845,092.75/3,698.06
  6. Step 6: Final answer
    x = 3,473.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.