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Finding the Fourth Proportional to 5,866.67, 8,095.94 and 3,214.04

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Solution

The fourth proportional to 5,866.67, 8,095.94 and 3,214.04 is: 4,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.67 : 8,095.94 = 3,214.04 : x
  2. Step 2: Convert to fraction form
    5,866.67/8,095.94 = 3,214.04/x
  3. Step 3: Cross multiply
    5,866.67x = 8,095.94 × 3,214.04
  4. Step 4: Simplify right side
    5,866.67x = 26,020,658.93
  5. Step 5: Solve for x
    x = 26,020,658.93/5,866.67
  6. Step 6: Final answer
    x = 4,435.34

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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.