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Finding the Fourth Proportional to 3,682.72, 5,524.80 and 1,491.40

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Solution

The fourth proportional to 3,682.72, 5,524.80 and 1,491.40 is: 2,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.72 : 5,524.80 = 1,491.40 : x
  2. Step 2: Convert to fraction form
    3,682.72/5,524.80 = 1,491.40/x
  3. Step 3: Cross multiply
    3,682.72x = 5,524.80 × 1,491.40
  4. Step 4: Simplify right side
    3,682.72x = 8,239,686.72
  5. Step 5: Solve for x
    x = 8,239,686.72/3,682.72
  6. Step 6: Final answer
    x = 2,237.39

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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.