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Finding the Fourth Proportional to 5,065.86, 6,990.27 and 2,827.86

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Solution

The fourth proportional to 5,065.86, 6,990.27 and 2,827.86 is: 3,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.86 : 6,990.27 = 2,827.86 : x
  2. Step 2: Convert to fraction form
    5,065.86/6,990.27 = 2,827.86/x
  3. Step 3: Cross multiply
    5,065.86x = 6,990.27 × 2,827.86
  4. Step 4: Simplify right side
    5,065.86x = 19,767,504.92
  5. Step 5: Solve for x
    x = 19,767,504.92/5,065.86
  6. Step 6: Final answer
    x = 3,902.10

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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.