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Finding the Fourth Proportional to 5,894.29, 8,828.37 and 3,422.98

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Solution

The fourth proportional to 5,894.29, 8,828.37 and 3,422.98 is: 5,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.29 : 8,828.37 = 3,422.98 : x
  2. Step 2: Convert to fraction form
    5,894.29/8,828.37 = 3,422.98/x
  3. Step 3: Cross multiply
    5,894.29x = 8,828.37 × 3,422.98
  4. Step 4: Simplify right side
    5,894.29x = 30,219,311.87
  5. Step 5: Solve for x
    x = 30,219,311.87/5,894.29
  6. Step 6: Final answer
    x = 5,126.88

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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.