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Finding the Fourth Proportional to 3,644.55, 5,467.37 and 1,178.55

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Solution

The fourth proportional to 3,644.55, 5,467.37 and 1,178.55 is: 1,768.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.55 : 5,467.37 = 1,178.55 : x
  2. Step 2: Convert to fraction form
    3,644.55/5,467.37 = 1,178.55/x
  3. Step 3: Cross multiply
    3,644.55x = 5,467.37 × 1,178.55
  4. Step 4: Simplify right side
    3,644.55x = 6,443,563.02
  5. Step 5: Solve for x
    x = 6,443,563.02/3,644.55
  6. Step 6: Final answer
    x = 1,768.00

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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.