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Finding the Fourth Proportional to 3,645.22, 5,466.84 and 1,012.11

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Solution

The fourth proportional to 3,645.22, 5,466.84 and 1,012.11 is: 1,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.22 : 5,466.84 = 1,012.11 : x
  2. Step 2: Convert to fraction form
    3,645.22/5,466.84 = 1,012.11/x
  3. Step 3: Cross multiply
    3,645.22x = 5,466.84 × 1,012.11
  4. Step 4: Simplify right side
    3,645.22x = 5,533,043.43
  5. Step 5: Solve for x
    x = 5,533,043.43/3,645.22
  6. Step 6: Final answer
    x = 1,517.89

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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.