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Finding the Fourth Proportional to 5,997.86, 8,277.06 and 3,345.29

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Solution

The fourth proportional to 5,997.86, 8,277.06 and 3,345.29 is: 4,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.86 : 8,277.06 = 3,345.29 : x
  2. Step 2: Convert to fraction form
    5,997.86/8,277.06 = 3,345.29/x
  3. Step 3: Cross multiply
    5,997.86x = 8,277.06 × 3,345.29
  4. Step 4: Simplify right side
    5,997.86x = 27,689,124.66
  5. Step 5: Solve for x
    x = 27,689,124.66/5,997.86
  6. Step 6: Final answer
    x = 4,616.50

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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.