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Finding the Fourth Proportional to 5,381.47, 8,069.08 and 2,090.71

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Solution

The fourth proportional to 5,381.47, 8,069.08 and 2,090.71 is: 3,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.47 : 8,069.08 = 2,090.71 : x
  2. Step 2: Convert to fraction form
    5,381.47/8,069.08 = 2,090.71/x
  3. Step 3: Cross multiply
    5,381.47x = 8,069.08 × 2,090.71
  4. Step 4: Simplify right side
    5,381.47x = 16,870,106.25
  5. Step 5: Solve for x
    x = 16,870,106.25/5,381.47
  6. Step 6: Final answer
    x = 3,134.85

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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.