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Finding the Fourth Proportional to 3,644.08, 5,466.39 and 1,047.22

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Solution

The fourth proportional to 3,644.08, 5,466.39 and 1,047.22 is: 1,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.08 : 5,466.39 = 1,047.22 : x
  2. Step 2: Convert to fraction form
    3,644.08/5,466.39 = 1,047.22/x
  3. Step 3: Cross multiply
    3,644.08x = 5,466.39 × 1,047.22
  4. Step 4: Simplify right side
    3,644.08x = 5,724,512.94
  5. Step 5: Solve for x
    x = 5,724,512.94/3,644.08
  6. Step 6: Final answer
    x = 1,570.91

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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.