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Finding the Fourth Proportional to 3,710.40, 5,120.15 and 2,031.48

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Solution

The fourth proportional to 3,710.40, 5,120.15 and 2,031.48 is: 2,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.40 : 5,120.15 = 2,031.48 : x
  2. Step 2: Convert to fraction form
    3,710.40/5,120.15 = 2,031.48/x
  3. Step 3: Cross multiply
    3,710.40x = 5,120.15 × 2,031.48
  4. Step 4: Simplify right side
    3,710.40x = 10,401,446.56
  5. Step 5: Solve for x
    x = 10,401,446.56/3,710.40
  6. Step 6: Final answer
    x = 2,803.32

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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.