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Finding the Fourth Proportional to 3,900.32, 5,850.24 and 1,302.56

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Solution

The fourth proportional to 3,900.32, 5,850.24 and 1,302.56 is: 1,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.32 : 5,850.24 = 1,302.56 : x
  2. Step 2: Convert to fraction form
    3,900.32/5,850.24 = 1,302.56/x
  3. Step 3: Cross multiply
    3,900.32x = 5,850.24 × 1,302.56
  4. Step 4: Simplify right side
    3,900.32x = 7,620,288.61
  5. Step 5: Solve for x
    x = 7,620,288.61/3,900.32
  6. Step 6: Final answer
    x = 1,953.76

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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.