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Finding the Fourth Proportional to 3,297.48, 4,549.92 and 1,971.12

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Solution

The fourth proportional to 3,297.48, 4,549.92 and 1,971.12 is: 2,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.48 : 4,549.92 = 1,971.12 : x
  2. Step 2: Convert to fraction form
    3,297.48/4,549.92 = 1,971.12/x
  3. Step 3: Cross multiply
    3,297.48x = 4,549.92 × 1,971.12
  4. Step 4: Simplify right side
    3,297.48x = 8,968,438.31
  5. Step 5: Solve for x
    x = 8,968,438.31/3,297.48
  6. Step 6: Final answer
    x = 2,719.79

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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.