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Finding the Fourth Proportional to 5,190.17, 7,780.89 and 2,415.43

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Solution

The fourth proportional to 5,190.17, 7,780.89 and 2,415.43 is: 3,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.17 : 7,780.89 = 2,415.43 : x
  2. Step 2: Convert to fraction form
    5,190.17/7,780.89 = 2,415.43/x
  3. Step 3: Cross multiply
    5,190.17x = 7,780.89 × 2,415.43
  4. Step 4: Simplify right side
    5,190.17x = 18,794,195.13
  5. Step 5: Solve for x
    x = 18,794,195.13/5,190.17
  6. Step 6: Final answer
    x = 3,621.11

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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.