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Finding the Fourth Proportional to 5,073.44, 7,611.30 and 1,696.50

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Solution

The fourth proportional to 5,073.44, 7,611.30 and 1,696.50 is: 2,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.44 : 7,611.30 = 1,696.50 : x
  2. Step 2: Convert to fraction form
    5,073.44/7,611.30 = 1,696.50/x
  3. Step 3: Cross multiply
    5,073.44x = 7,611.30 × 1,696.50
  4. Step 4: Simplify right side
    5,073.44x = 12,912,570.45
  5. Step 5: Solve for x
    x = 12,912,570.45/5,073.44
  6. Step 6: Final answer
    x = 2,545.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.