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Finding the Fourth Proportional to 3,523.78, 4,862.76 and 2,031.70

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Solution

The fourth proportional to 3,523.78, 4,862.76 and 2,031.70 is: 2,803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.78 : 4,862.76 = 2,031.70 : x
  2. Step 2: Convert to fraction form
    3,523.78/4,862.76 = 2,031.70/x
  3. Step 3: Cross multiply
    3,523.78x = 4,862.76 × 2,031.70
  4. Step 4: Simplify right side
    3,523.78x = 9,879,669.49
  5. Step 5: Solve for x
    x = 9,879,669.49/3,523.78
  6. Step 6: Final answer
    x = 2,803.71

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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.