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Finding the Fourth Proportional to 4,031, 5,563.74 and 2,460.42

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Solution

The fourth proportional to 4,031, 5,563.74 and 2,460.42 is: 3,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031 : 5,563.74 = 2,460.42 : x
  2. Step 2: Convert to fraction form
    4,031/5,563.74 = 2,460.42/x
  3. Step 3: Cross multiply
    4,031x = 5,563.74 × 2,460.42
  4. Step 4: Simplify right side
    4,031x = 13,689,137.17
  5. Step 5: Solve for x
    x = 13,689,137.17/4,031
  6. Step 6: Final answer
    x = 3,395.97

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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.