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Finding the Fourth Proportional to 5,889.07, 8,128.07 and 3,899.71

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Solution

The fourth proportional to 5,889.07, 8,128.07 and 3,899.71 is: 5,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.07 : 8,128.07 = 3,899.71 : x
  2. Step 2: Convert to fraction form
    5,889.07/8,128.07 = 3,899.71/x
  3. Step 3: Cross multiply
    5,889.07x = 8,128.07 × 3,899.71
  4. Step 4: Simplify right side
    5,889.07x = 31,697,115.86
  5. Step 5: Solve for x
    x = 31,697,115.86/5,889.07
  6. Step 6: Final answer
    x = 5,382.36

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Why These Related Problems?

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