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Finding the Fourth Proportional to 5,978.03, 8,965.67 and 1,760.19

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Solution

The fourth proportional to 5,978.03, 8,965.67 and 1,760.19 is: 2,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.03 : 8,965.67 = 1,760.19 : x
  2. Step 2: Convert to fraction form
    5,978.03/8,965.67 = 1,760.19/x
  3. Step 3: Cross multiply
    5,978.03x = 8,965.67 × 1,760.19
  4. Step 4: Simplify right side
    5,978.03x = 15,781,320.62
  5. Step 5: Solve for x
    x = 15,781,320.62/5,978.03
  6. Step 6: Final answer
    x = 2,639.89

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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.