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Finding the Fourth Proportional to 3,710.19, 5,120.07 and 2,031.61

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Solution

The fourth proportional to 3,710.19, 5,120.07 and 2,031.61 is: 2,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.19 : 5,120.07 = 2,031.61 : x
  2. Step 2: Convert to fraction form
    3,710.19/5,120.07 = 2,031.61/x
  3. Step 3: Cross multiply
    3,710.19x = 5,120.07 × 2,031.61
  4. Step 4: Simplify right side
    3,710.19x = 10,401,985.41
  5. Step 5: Solve for x
    x = 10,401,985.41/3,710.19
  6. Step 6: Final answer
    x = 2,803.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.