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Finding the Fourth Proportional to 5,202.77, 7,805.31 and 2,427.93

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Solution

The fourth proportional to 5,202.77, 7,805.31 and 2,427.93 is: 3,642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.77 : 7,805.31 = 2,427.93 : x
  2. Step 2: Convert to fraction form
    5,202.77/7,805.31 = 2,427.93/x
  3. Step 3: Cross multiply
    5,202.77x = 7,805.31 × 2,427.93
  4. Step 4: Simplify right side
    5,202.77x = 18,950,695.14
  5. Step 5: Solve for x
    x = 18,950,695.14/5,202.77
  6. Step 6: Final answer
    x = 3,642.43

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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.