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Finding the Fourth Proportional to 5,378.63, 8,065.89 and 2,091.29

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Solution

The fourth proportional to 5,378.63, 8,065.89 and 2,091.29 is: 3,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.63 : 8,065.89 = 2,091.29 : x
  2. Step 2: Convert to fraction form
    5,378.63/8,065.89 = 2,091.29/x
  3. Step 3: Cross multiply
    5,378.63x = 8,065.89 × 2,091.29
  4. Step 4: Simplify right side
    5,378.63x = 16,868,074.77
  5. Step 5: Solve for x
    x = 16,868,074.77/5,378.63
  6. Step 6: Final answer
    x = 3,136.13

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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.