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Finding the Fourth Proportional to 3,774.24, 5,657.86 and 1,433.54

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Solution

The fourth proportional to 3,774.24, 5,657.86 and 1,433.54 is: 2,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.24 : 5,657.86 = 1,433.54 : x
  2. Step 2: Convert to fraction form
    3,774.24/5,657.86 = 1,433.54/x
  3. Step 3: Cross multiply
    3,774.24x = 5,657.86 × 1,433.54
  4. Step 4: Simplify right side
    3,774.24x = 8,110,768.62
  5. Step 5: Solve for x
    x = 8,110,768.62/3,774.24
  6. Step 6: Final answer
    x = 2,148.98

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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.