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Finding the Fourth Proportional to 3,773.54, 5,657.56 and 2,537.88

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Solution

The fourth proportional to 3,773.54, 5,657.56 and 2,537.88 is: 3,804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.54 : 5,657.56 = 2,537.88 : x
  2. Step 2: Convert to fraction form
    3,773.54/5,657.56 = 2,537.88/x
  3. Step 3: Cross multiply
    3,773.54x = 5,657.56 × 2,537.88
  4. Step 4: Simplify right side
    3,773.54x = 14,358,208.37
  5. Step 5: Solve for x
    x = 14,358,208.37/3,773.54
  6. Step 6: Final answer
    x = 3,804.97

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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.