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Finding the Fourth Proportional to 5,932.36, 8,848.42 and 5,589.73

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Solution

The fourth proportional to 5,932.36, 8,848.42 and 5,589.73 is: 8,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.36 : 8,848.42 = 5,589.73 : x
  2. Step 2: Convert to fraction form
    5,932.36/8,848.42 = 5,589.73/x
  3. Step 3: Cross multiply
    5,932.36x = 8,848.42 × 5,589.73
  4. Step 4: Simplify right side
    5,932.36x = 49,460,278.73
  5. Step 5: Solve for x
    x = 49,460,278.73/5,932.36
  6. Step 6: Final answer
    x = 8,337.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.