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Finding the Fourth Proportional to 3,932.37, 5,898.90 and 1,010.67

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Solution

The fourth proportional to 3,932.37, 5,898.90 and 1,010.67 is: 1,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.37 : 5,898.90 = 1,010.67 : x
  2. Step 2: Convert to fraction form
    3,932.37/5,898.90 = 1,010.67/x
  3. Step 3: Cross multiply
    3,932.37x = 5,898.90 × 1,010.67
  4. Step 4: Simplify right side
    3,932.37x = 5,961,841.26
  5. Step 5: Solve for x
    x = 5,961,841.26/3,932.37
  6. Step 6: Final answer
    x = 1,516.09

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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.