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Finding the Fourth Proportional to 3,889.63, 5,800.19 and 3,854.53

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Solution

The fourth proportional to 3,889.63, 5,800.19 and 3,854.53 is: 5,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.63 : 5,800.19 = 3,854.53 : x
  2. Step 2: Convert to fraction form
    3,889.63/5,800.19 = 3,854.53/x
  3. Step 3: Cross multiply
    3,889.63x = 5,800.19 × 3,854.53
  4. Step 4: Simplify right side
    3,889.63x = 22,357,006.36
  5. Step 5: Solve for x
    x = 22,357,006.36/3,889.63
  6. Step 6: Final answer
    x = 5,747.85

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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.