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Finding the Fourth Proportional to 4,089.78, 5,644.07 and 2,321.55

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Solution

The fourth proportional to 4,089.78, 5,644.07 and 2,321.55 is: 3,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.78 : 5,644.07 = 2,321.55 : x
  2. Step 2: Convert to fraction form
    4,089.78/5,644.07 = 2,321.55/x
  3. Step 3: Cross multiply
    4,089.78x = 5,644.07 × 2,321.55
  4. Step 4: Simplify right side
    4,089.78x = 13,102,990.71
  5. Step 5: Solve for x
    x = 13,102,990.71/4,089.78
  6. Step 6: Final answer
    x = 3,203.84

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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.