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Finding the Fourth Proportional to 3,612.56, 5,418.23 and 1,421.91

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Solution

The fourth proportional to 3,612.56, 5,418.23 and 1,421.91 is: 2,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.56 : 5,418.23 = 1,421.91 : x
  2. Step 2: Convert to fraction form
    3,612.56/5,418.23 = 1,421.91/x
  3. Step 3: Cross multiply
    3,612.56x = 5,418.23 × 1,421.91
  4. Step 4: Simplify right side
    3,612.56x = 7,704,228.31
  5. Step 5: Solve for x
    x = 7,704,228.31/3,612.56
  6. Step 6: Final answer
    x = 2,132.63

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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.