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Finding the Fourth Proportional to 3,203.50, 4,416.78 and 2,724.49

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Solution

The fourth proportional to 3,203.50, 4,416.78 and 2,724.49 is: 3,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.50 : 4,416.78 = 2,724.49 : x
  2. Step 2: Convert to fraction form
    3,203.50/4,416.78 = 2,724.49/x
  3. Step 3: Cross multiply
    3,203.50x = 4,416.78 × 2,724.49
  4. Step 4: Simplify right side
    3,203.50x = 12,033,448.51
  5. Step 5: Solve for x
    x = 12,033,448.51/3,203.50
  6. Step 6: Final answer
    x = 3,756.34

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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.