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Finding the Fourth Proportional to 5,998.86, 8,278.47 and 3,345.84

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Solution

The fourth proportional to 5,998.86, 8,278.47 and 3,345.84 is: 4,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.86 : 8,278.47 = 3,345.84 : x
  2. Step 2: Convert to fraction form
    5,998.86/8,278.47 = 3,345.84/x
  3. Step 3: Cross multiply
    5,998.86x = 8,278.47 × 3,345.84
  4. Step 4: Simplify right side
    5,998.86x = 27,698,436.06
  5. Step 5: Solve for x
    x = 27,698,436.06/5,998.86
  6. Step 6: Final answer
    x = 4,617.28

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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.