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Finding the Fourth Proportional to 3,644.16, 5,466.36 and 1,179

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Solution

The fourth proportional to 3,644.16, 5,466.36 and 1,179 is: 1,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.16 : 5,466.36 = 1,179 : x
  2. Step 2: Convert to fraction form
    3,644.16/5,466.36 = 1,179/x
  3. Step 3: Cross multiply
    3,644.16x = 5,466.36 × 1,179
  4. Step 4: Simplify right side
    3,644.16x = 6,444,838.44
  5. Step 5: Solve for x
    x = 6,444,838.44/3,644.16
  6. Step 6: Final answer
    x = 1,768.54

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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.