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Finding the Fourth Proportional to 5,689.77, 8,529.13 and 2,177.07

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Solution

The fourth proportional to 5,689.77, 8,529.13 and 2,177.07 is: 3,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.77 : 8,529.13 = 2,177.07 : x
  2. Step 2: Convert to fraction form
    5,689.77/8,529.13 = 2,177.07/x
  3. Step 3: Cross multiply
    5,689.77x = 8,529.13 × 2,177.07
  4. Step 4: Simplify right side
    5,689.77x = 18,568,513.05
  5. Step 5: Solve for x
    x = 18,568,513.05/5,689.77
  6. Step 6: Final answer
    x = 3,263.49

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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.