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Finding the Fourth Proportional to 3,461.46, 5,165.40 and 3,092.28

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Solution

The fourth proportional to 3,461.46, 5,165.40 and 3,092.28 is: 4,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.46 : 5,165.40 = 3,092.28 : x
  2. Step 2: Convert to fraction form
    3,461.46/5,165.40 = 3,092.28/x
  3. Step 3: Cross multiply
    3,461.46x = 5,165.40 × 3,092.28
  4. Step 4: Simplify right side
    3,461.46x = 15,972,863.11
  5. Step 5: Solve for x
    x = 15,972,863.11/3,461.46
  6. Step 6: Final answer
    x = 4,614.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.