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Finding the Fourth Proportional to 5,960.40, 8,943.03 and 4,789.14

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Solution

The fourth proportional to 5,960.40, 8,943.03 and 4,789.14 is: 7,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.40 : 8,943.03 = 4,789.14 : x
  2. Step 2: Convert to fraction form
    5,960.40/8,943.03 = 4,789.14/x
  3. Step 3: Cross multiply
    5,960.40x = 8,943.03 × 4,789.14
  4. Step 4: Simplify right side
    5,960.40x = 42,829,422.69
  5. Step 5: Solve for x
    x = 42,829,422.69/5,960.40
  6. Step 6: Final answer
    x = 7,185.66

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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.