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Finding the Fourth Proportional to 5,808.29, 8,709.71 and 2,107.94

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Solution

The fourth proportional to 5,808.29, 8,709.71 and 2,107.94 is: 3,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.29 : 8,709.71 = 2,107.94 : x
  2. Step 2: Convert to fraction form
    5,808.29/8,709.71 = 2,107.94/x
  3. Step 3: Cross multiply
    5,808.29x = 8,709.71 × 2,107.94
  4. Step 4: Simplify right side
    5,808.29x = 18,359,492.01
  5. Step 5: Solve for x
    x = 18,359,492.01/5,808.29
  6. Step 6: Final answer
    x = 3,160.91

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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.