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Finding the Fourth Proportional to 3,541.72, 4,888.38 and 2,297.56

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Solution

The fourth proportional to 3,541.72, 4,888.38 and 2,297.56 is: 3,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.72 : 4,888.38 = 2,297.56 : x
  2. Step 2: Convert to fraction form
    3,541.72/4,888.38 = 2,297.56/x
  3. Step 3: Cross multiply
    3,541.72x = 4,888.38 × 2,297.56
  4. Step 4: Simplify right side
    3,541.72x = 11,231,346.35
  5. Step 5: Solve for x
    x = 11,231,346.35/3,541.72
  6. Step 6: Final answer
    x = 3,171.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.