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Finding the Fourth Proportional to 4,550.79, 6,821.93 and 2,083.13

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Solution

The fourth proportional to 4,550.79, 6,821.93 and 2,083.13 is: 3,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.79 : 6,821.93 = 2,083.13 : x
  2. Step 2: Convert to fraction form
    4,550.79/6,821.93 = 2,083.13/x
  3. Step 3: Cross multiply
    4,550.79x = 6,821.93 × 2,083.13
  4. Step 4: Simplify right side
    4,550.79x = 14,210,938.14
  5. Step 5: Solve for x
    x = 14,210,938.14/4,550.79
  6. Step 6: Final answer
    x = 3,122.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.