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Finding the Fourth Proportional to 5,354.61, 8,031.84 and 2,065.41

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Solution

The fourth proportional to 5,354.61, 8,031.84 and 2,065.41 is: 3,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.61 : 8,031.84 = 2,065.41 : x
  2. Step 2: Convert to fraction form
    5,354.61/8,031.84 = 2,065.41/x
  3. Step 3: Cross multiply
    5,354.61x = 8,031.84 × 2,065.41
  4. Step 4: Simplify right side
    5,354.61x = 16,589,042.65
  5. Step 5: Solve for x
    x = 16,589,042.65/5,354.61
  6. Step 6: Final answer
    x = 3,098.09

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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.