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Finding the Fourth Proportional to 5,980.16, 8,964.41 and 2,859.35

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Solution

The fourth proportional to 5,980.16, 8,964.41 and 2,859.35 is: 4,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.16 : 8,964.41 = 2,859.35 : x
  2. Step 2: Convert to fraction form
    5,980.16/8,964.41 = 2,859.35/x
  3. Step 3: Cross multiply
    5,980.16x = 8,964.41 × 2,859.35
  4. Step 4: Simplify right side
    5,980.16x = 25,632,415.29
  5. Step 5: Solve for x
    x = 25,632,415.29/5,980.16
  6. Step 6: Final answer
    x = 4,286.25

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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.