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Finding the Fourth Proportional to 3,773.52, 5,658.52 and 1,433.96

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Solution

The fourth proportional to 3,773.52, 5,658.52 and 1,433.96 is: 2,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.52 : 5,658.52 = 1,433.96 : x
  2. Step 2: Convert to fraction form
    3,773.52/5,658.52 = 1,433.96/x
  3. Step 3: Cross multiply
    3,773.52x = 5,658.52 × 1,433.96
  4. Step 4: Simplify right side
    3,773.52x = 8,114,091.34
  5. Step 5: Solve for x
    x = 8,114,091.34/3,773.52
  6. Step 6: Final answer
    x = 2,150.27

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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.