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Finding the Fourth Proportional to 5,894.97, 8,839.61 and 3,430.34

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Solution

The fourth proportional to 5,894.97, 8,839.61 and 3,430.34 is: 5,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.97 : 8,839.61 = 3,430.34 : x
  2. Step 2: Convert to fraction form
    5,894.97/8,839.61 = 3,430.34/x
  3. Step 3: Cross multiply
    5,894.97x = 8,839.61 × 3,430.34
  4. Step 4: Simplify right side
    5,894.97x = 30,322,867.77
  5. Step 5: Solve for x
    x = 30,322,867.77/5,894.97
  6. Step 6: Final answer
    x = 5,143.85

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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.