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Finding the Fourth Proportional to 3,287.22, 4,533.74 and 2,696.46

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Solution

The fourth proportional to 3,287.22, 4,533.74 and 2,696.46 is: 3,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.22 : 4,533.74 = 2,696.46 : x
  2. Step 2: Convert to fraction form
    3,287.22/4,533.74 = 2,696.46/x
  3. Step 3: Cross multiply
    3,287.22x = 4,533.74 × 2,696.46
  4. Step 4: Simplify right side
    3,287.22x = 12,225,048.56
  5. Step 5: Solve for x
    x = 12,225,048.56/3,287.22
  6. Step 6: Final answer
    x = 3,718.96

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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.