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Finding the Fourth Proportional to 3,390.40, 5,085.12 and 1,311.38

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Solution

The fourth proportional to 3,390.40, 5,085.12 and 1,311.38 is: 1,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.40 : 5,085.12 = 1,311.38 : x
  2. Step 2: Convert to fraction form
    3,390.40/5,085.12 = 1,311.38/x
  3. Step 3: Cross multiply
    3,390.40x = 5,085.12 × 1,311.38
  4. Step 4: Simplify right side
    3,390.40x = 6,668,524.67
  5. Step 5: Solve for x
    x = 6,668,524.67/3,390.40
  6. Step 6: Final answer
    x = 1,966.88

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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.