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Finding the Fourth Proportional to 5,983.30, 8,249.43 and 5,142.34

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Solution

The fourth proportional to 5,983.30, 8,249.43 and 5,142.34 is: 7,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.30 : 8,249.43 = 5,142.34 : x
  2. Step 2: Convert to fraction form
    5,983.30/8,249.43 = 5,142.34/x
  3. Step 3: Cross multiply
    5,983.30x = 8,249.43 × 5,142.34
  4. Step 4: Simplify right side
    5,983.30x = 42,421,373.87
  5. Step 5: Solve for x
    x = 42,421,373.87/5,983.30
  6. Step 6: Final answer
    x = 7,089.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.