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Finding the Fourth Proportional to 4,577.72, 6,306.46 and 3,775.82

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Solution

The fourth proportional to 4,577.72, 6,306.46 and 3,775.82 is: 5,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.72 : 6,306.46 = 3,775.82 : x
  2. Step 2: Convert to fraction form
    4,577.72/6,306.46 = 3,775.82/x
  3. Step 3: Cross multiply
    4,577.72x = 6,306.46 × 3,775.82
  4. Step 4: Simplify right side
    4,577.72x = 23,812,016.83
  5. Step 5: Solve for x
    x = 23,812,016.83/4,577.72
  6. Step 6: Final answer
    x = 5,201.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.