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Finding the Fourth Proportional to 5,809.52, 8,715.36 and 1,914.20

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Solution

The fourth proportional to 5,809.52, 8,715.36 and 1,914.20 is: 2,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.52 : 8,715.36 = 1,914.20 : x
  2. Step 2: Convert to fraction form
    5,809.52/8,715.36 = 1,914.20/x
  3. Step 3: Cross multiply
    5,809.52x = 8,715.36 × 1,914.20
  4. Step 4: Simplify right side
    5,809.52x = 16,682,942.11
  5. Step 5: Solve for x
    x = 16,682,942.11/5,809.52
  6. Step 6: Final answer
    x = 2,871.66

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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.