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Finding the Fourth Proportional to 3,900.95, 5,851.18 and 1,709.67

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Solution

The fourth proportional to 3,900.95, 5,851.18 and 1,709.67 is: 2,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.95 : 5,851.18 = 1,709.67 : x
  2. Step 2: Convert to fraction form
    3,900.95/5,851.18 = 1,709.67/x
  3. Step 3: Cross multiply
    3,900.95x = 5,851.18 × 1,709.67
  4. Step 4: Simplify right side
    3,900.95x = 10,003,586.91
  5. Step 5: Solve for x
    x = 10,003,586.91/3,900.95
  6. Step 6: Final answer
    x = 2,564.40

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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.