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Finding the Fourth Proportional to 5,379.84, 8,072.87 and 2,259.60

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Solution

The fourth proportional to 5,379.84, 8,072.87 and 2,259.60 is: 3,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.84 : 8,072.87 = 2,259.60 : x
  2. Step 2: Convert to fraction form
    5,379.84/8,072.87 = 2,259.60/x
  3. Step 3: Cross multiply
    5,379.84x = 8,072.87 × 2,259.60
  4. Step 4: Simplify right side
    5,379.84x = 18,241,445.75
  5. Step 5: Solve for x
    x = 18,241,445.75/5,379.84
  6. Step 6: Final answer
    x = 3,390.70

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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.