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Finding the Fourth Proportional to 5,994.42, 8,983.94 and 5,252.33

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Solution

The fourth proportional to 5,994.42, 8,983.94 and 5,252.33 is: 7,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.42 : 8,983.94 = 5,252.33 : x
  2. Step 2: Convert to fraction form
    5,994.42/8,983.94 = 5,252.33/x
  3. Step 3: Cross multiply
    5,994.42x = 8,983.94 × 5,252.33
  4. Step 4: Simplify right side
    5,994.42x = 47,186,546.40
  5. Step 5: Solve for x
    x = 47,186,546.40/5,994.42
  6. Step 6: Final answer
    x = 7,871.75

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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.