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Finding the Fourth Proportional to 5,989.86, 8,248.15 and 5,857.09

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Solution

The fourth proportional to 5,989.86, 8,248.15 and 5,857.09 is: 8,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.86 : 8,248.15 = 5,857.09 : x
  2. Step 2: Convert to fraction form
    5,989.86/8,248.15 = 5,857.09/x
  3. Step 3: Cross multiply
    5,989.86x = 8,248.15 × 5,857.09
  4. Step 4: Simplify right side
    5,989.86x = 48,310,156.88
  5. Step 5: Solve for x
    x = 48,310,156.88/5,989.86
  6. Step 6: Final answer
    x = 8,065.32

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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.