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Finding the Fourth Proportional to 4,089.57, 5,644.11 and 2,321.74

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Solution

The fourth proportional to 4,089.57, 5,644.11 and 2,321.74 is: 3,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.57 : 5,644.11 = 2,321.74 : x
  2. Step 2: Convert to fraction form
    4,089.57/5,644.11 = 2,321.74/x
  3. Step 3: Cross multiply
    4,089.57x = 5,644.11 × 2,321.74
  4. Step 4: Simplify right side
    4,089.57x = 13,104,155.95
  5. Step 5: Solve for x
    x = 13,104,155.95/4,089.57
  6. Step 6: Final answer
    x = 3,204.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.