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Finding the Fourth Proportional to 3,773.47, 5,662.08 and 2,524.89

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Solution

The fourth proportional to 3,773.47, 5,662.08 and 2,524.89 is: 3,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.47 : 5,662.08 = 2,524.89 : x
  2. Step 2: Convert to fraction form
    3,773.47/5,662.08 = 2,524.89/x
  3. Step 3: Cross multiply
    3,773.47x = 5,662.08 × 2,524.89
  4. Step 4: Simplify right side
    3,773.47x = 14,296,129.17
  5. Step 5: Solve for x
    x = 14,296,129.17/3,773.47
  6. Step 6: Final answer
    x = 3,788.59

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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.