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Finding the Fourth Proportional to 5,213.05, 7,820.85 and 1,515.19

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Solution

The fourth proportional to 5,213.05, 7,820.85 and 1,515.19 is: 2,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.05 : 7,820.85 = 1,515.19 : x
  2. Step 2: Convert to fraction form
    5,213.05/7,820.85 = 1,515.19/x
  3. Step 3: Cross multiply
    5,213.05x = 7,820.85 × 1,515.19
  4. Step 4: Simplify right side
    5,213.05x = 11,850,073.71
  5. Step 5: Solve for x
    x = 11,850,073.71/5,213.05
  6. Step 6: Final answer
    x = 2,273.16

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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.