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Finding the Fourth Proportional to 3,644.37, 5,466.11 and 1,012.08

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Solution

The fourth proportional to 3,644.37, 5,466.11 and 1,012.08 is: 1,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.37 : 5,466.11 = 1,012.08 : x
  2. Step 2: Convert to fraction form
    3,644.37/5,466.11 = 1,012.08/x
  3. Step 3: Cross multiply
    3,644.37x = 5,466.11 × 1,012.08
  4. Step 4: Simplify right side
    3,644.37x = 5,532,135.55
  5. Step 5: Solve for x
    x = 5,532,135.55/3,644.37
  6. Step 6: Final answer
    x = 1,518.00

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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.