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Finding the Fourth Proportional to 3,964.21, 5,461.80 and 2,617.42

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Solution

The fourth proportional to 3,964.21, 5,461.80 and 2,617.42 is: 3,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.21 : 5,461.80 = 2,617.42 : x
  2. Step 2: Convert to fraction form
    3,964.21/5,461.80 = 2,617.42/x
  3. Step 3: Cross multiply
    3,964.21x = 5,461.80 × 2,617.42
  4. Step 4: Simplify right side
    3,964.21x = 14,295,831.38
  5. Step 5: Solve for x
    x = 14,295,831.38/3,964.21
  6. Step 6: Final answer
    x = 3,606.22

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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.