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Finding the Fourth Proportional to 6,689.01, 10,033.35 and 3,882.05

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Solution

The fourth proportional to 6,689.01, 10,033.35 and 3,882.05 is: 5,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.01 : 10,033.35 = 3,882.05 : x
  2. Step 2: Convert to fraction form
    6,689.01/10,033.35 = 3,882.05/x
  3. Step 3: Cross multiply
    6,689.01x = 10,033.35 × 3,882.05
  4. Step 4: Simplify right side
    6,689.01x = 38,949,966.37
  5. Step 5: Solve for x
    x = 38,949,966.37/6,689.01
  6. Step 6: Final answer
    x = 5,822.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.