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Finding the Fourth Proportional to 3,503.82, 5,252.88 and 1,311.32

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Solution

The fourth proportional to 3,503.82, 5,252.88 and 1,311.32 is: 1,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.82 : 5,252.88 = 1,311.32 : x
  2. Step 2: Convert to fraction form
    3,503.82/5,252.88 = 1,311.32/x
  3. Step 3: Cross multiply
    3,503.82x = 5,252.88 × 1,311.32
  4. Step 4: Simplify right side
    3,503.82x = 6,888,206.60
  5. Step 5: Solve for x
    x = 6,888,206.60/3,503.82
  6. Step 6: Final answer
    x = 1,965.91

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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.