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Finding the Fourth Proportional to 5,965.80, 8,937.90 and 4,864.20

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Solution

The fourth proportional to 5,965.80, 8,937.90 and 4,864.20 is: 7,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.80 : 8,937.90 = 4,864.20 : x
  2. Step 2: Convert to fraction form
    5,965.80/8,937.90 = 4,864.20/x
  3. Step 3: Cross multiply
    5,965.80x = 8,937.90 × 4,864.20
  4. Step 4: Simplify right side
    5,965.80x = 43,475,733.18
  5. Step 5: Solve for x
    x = 43,475,733.18/5,965.80
  6. Step 6: Final answer
    x = 7,287.49

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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.