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Finding the Fourth Proportional to 3,390.39, 5,085.60 and 1,311.33

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Solution

The fourth proportional to 3,390.39, 5,085.60 and 1,311.33 is: 1,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.39 : 5,085.60 = 1,311.33 : x
  2. Step 2: Convert to fraction form
    3,390.39/5,085.60 = 1,311.33/x
  3. Step 3: Cross multiply
    3,390.39x = 5,085.60 × 1,311.33
  4. Step 4: Simplify right side
    3,390.39x = 6,668,899.85
  5. Step 5: Solve for x
    x = 6,668,899.85/3,390.39
  6. Step 6: Final answer
    x = 1,967.00

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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.