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Finding the Fourth Proportional to 3,773.70, 5,663.14 and 1,696.03

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Solution

The fourth proportional to 3,773.70, 5,663.14 and 1,696.03 is: 2,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.70 : 5,663.14 = 1,696.03 : x
  2. Step 2: Convert to fraction form
    3,773.70/5,663.14 = 1,696.03/x
  3. Step 3: Cross multiply
    3,773.70x = 5,663.14 × 1,696.03
  4. Step 4: Simplify right side
    3,773.70x = 9,604,855.33
  5. Step 5: Solve for x
    x = 9,604,855.33/3,773.70
  6. Step 6: Final answer
    x = 2,545.21

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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.