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Finding the Fourth Proportional to 5,309.40, 7,963.87 and 1,611.55

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Solution

The fourth proportional to 5,309.40, 7,963.87 and 1,611.55 is: 2,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.40 : 7,963.87 = 1,611.55 : x
  2. Step 2: Convert to fraction form
    5,309.40/7,963.87 = 1,611.55/x
  3. Step 3: Cross multiply
    5,309.40x = 7,963.87 × 1,611.55
  4. Step 4: Simplify right side
    5,309.40x = 12,834,138.85
  5. Step 5: Solve for x
    x = 12,834,138.85/5,309.40
  6. Step 6: Final answer
    x = 2,417.25

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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.