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Finding the Fourth Proportional to 3,637.58, 5,020.24 and 2,065.76

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Solution

The fourth proportional to 3,637.58, 5,020.24 and 2,065.76 is: 2,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.58 : 5,020.24 = 2,065.76 : x
  2. Step 2: Convert to fraction form
    3,637.58/5,020.24 = 2,065.76/x
  3. Step 3: Cross multiply
    3,637.58x = 5,020.24 × 2,065.76
  4. Step 4: Simplify right side
    3,637.58x = 10,370,610.98
  5. Step 5: Solve for x
    x = 10,370,610.98/3,637.58
  6. Step 6: Final answer
    x = 2,850.96

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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.