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Finding the Fourth Proportional to 5,213.70, 7,821.32 and 1,515.45

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Solution

The fourth proportional to 5,213.70, 7,821.32 and 1,515.45 is: 2,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.70 : 7,821.32 = 1,515.45 : x
  2. Step 2: Convert to fraction form
    5,213.70/7,821.32 = 1,515.45/x
  3. Step 3: Cross multiply
    5,213.70x = 7,821.32 × 1,515.45
  4. Step 4: Simplify right side
    5,213.70x = 11,852,819.39
  5. Step 5: Solve for x
    x = 11,852,819.39/5,213.70
  6. Step 6: Final answer
    x = 2,273.40

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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.