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Finding the Fourth Proportional to 3,644.11, 5,466.17 and 1,047.05

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Solution

The fourth proportional to 3,644.11, 5,466.17 and 1,047.05 is: 1,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.11 : 5,466.17 = 1,047.05 : x
  2. Step 2: Convert to fraction form
    3,644.11/5,466.17 = 1,047.05/x
  3. Step 3: Cross multiply
    3,644.11x = 5,466.17 × 1,047.05
  4. Step 4: Simplify right side
    3,644.11x = 5,723,320.73
  5. Step 5: Solve for x
    x = 5,723,320.73/3,644.11
  6. Step 6: Final answer
    x = 1,570.57

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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.