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Finding the Fourth Proportional to 5,190.98, 7,789.35 and 3,807.14

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Solution

The fourth proportional to 5,190.98, 7,789.35 and 3,807.14 is: 5,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.98 : 7,789.35 = 3,807.14 : x
  2. Step 2: Convert to fraction form
    5,190.98/7,789.35 = 3,807.14/x
  3. Step 3: Cross multiply
    5,190.98x = 7,789.35 × 3,807.14
  4. Step 4: Simplify right side
    5,190.98x = 29,655,145.96
  5. Step 5: Solve for x
    x = 29,655,145.96/5,190.98
  6. Step 6: Final answer
    x = 5,712.82

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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.