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Finding the Fourth Proportional to 5,998.53, 8,277.94 and 3,345.94

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Solution

The fourth proportional to 5,998.53, 8,277.94 and 3,345.94 is: 4,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.53 : 8,277.94 = 3,345.94 : x
  2. Step 2: Convert to fraction form
    5,998.53/8,277.94 = 3,345.94/x
  3. Step 3: Cross multiply
    5,998.53x = 8,277.94 × 3,345.94
  4. Step 4: Simplify right side
    5,998.53x = 27,697,490.56
  5. Step 5: Solve for x
    x = 27,697,490.56/5,998.53
  6. Step 6: Final answer
    x = 4,617.38

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Why These Related Problems?

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