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Finding the Fourth Proportional to 5,411.77, 8,112.78 and 2,806.81

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Solution

The fourth proportional to 5,411.77, 8,112.78 and 2,806.81 is: 4,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.77 : 8,112.78 = 2,806.81 : x
  2. Step 2: Convert to fraction form
    5,411.77/8,112.78 = 2,806.81/x
  3. Step 3: Cross multiply
    5,411.77x = 8,112.78 × 2,806.81
  4. Step 4: Simplify right side
    5,411.77x = 22,771,032.03
  5. Step 5: Solve for x
    x = 22,771,032.03/5,411.77
  6. Step 6: Final answer
    x = 4,207.69

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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.