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Finding the Fourth Proportional to 5,475.67, 8,213.78 and 1,580.38

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Solution

The fourth proportional to 5,475.67, 8,213.78 and 1,580.38 is: 2,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.67 : 8,213.78 = 1,580.38 : x
  2. Step 2: Convert to fraction form
    5,475.67/8,213.78 = 1,580.38/x
  3. Step 3: Cross multiply
    5,475.67x = 8,213.78 × 1,580.38
  4. Step 4: Simplify right side
    5,475.67x = 12,980,877.05
  5. Step 5: Solve for x
    x = 12,980,877.05/5,475.67
  6. Step 6: Final answer
    x = 2,370.65

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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.