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Finding the Fourth Proportional to 3,390.06, 5,085.42 and 1,311.03

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Solution

The fourth proportional to 3,390.06, 5,085.42 and 1,311.03 is: 1,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.06 : 5,085.42 = 1,311.03 : x
  2. Step 2: Convert to fraction form
    3,390.06/5,085.42 = 1,311.03/x
  3. Step 3: Cross multiply
    3,390.06x = 5,085.42 × 1,311.03
  4. Step 4: Simplify right side
    3,390.06x = 6,667,138.18
  5. Step 5: Solve for x
    x = 6,667,138.18/3,390.06
  6. Step 6: Final answer
    x = 1,966.67

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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.