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Finding the Fourth Proportional to 3,425.65, 4,727.32 and 2,246.64

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Solution

The fourth proportional to 3,425.65, 4,727.32 and 2,246.64 is: 3,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.65 : 4,727.32 = 2,246.64 : x
  2. Step 2: Convert to fraction form
    3,425.65/4,727.32 = 2,246.64/x
  3. Step 3: Cross multiply
    3,425.65x = 4,727.32 × 2,246.64
  4. Step 4: Simplify right side
    3,425.65x = 10,620,586.20
  5. Step 5: Solve for x
    x = 10,620,586.20/3,425.65
  6. Step 6: Final answer
    x = 3,100.31

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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.