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Finding the Fourth Proportional to 5,980.32, 8,255.07 and 5,137.65

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Solution

The fourth proportional to 5,980.32, 8,255.07 and 5,137.65 is: 7,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.32 : 8,255.07 = 5,137.65 : x
  2. Step 2: Convert to fraction form
    5,980.32/8,255.07 = 5,137.65/x
  3. Step 3: Cross multiply
    5,980.32x = 8,255.07 × 5,137.65
  4. Step 4: Simplify right side
    5,980.32x = 42,411,660.39
  5. Step 5: Solve for x
    x = 42,411,660.39/5,980.32
  6. Step 6: Final answer
    x = 7,091.87

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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.