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Finding the Fourth Proportional to 3,466.02, 5,198.22 and 1,157.52

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Solution

The fourth proportional to 3,466.02, 5,198.22 and 1,157.52 is: 1,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.02 : 5,198.22 = 1,157.52 : x
  2. Step 2: Convert to fraction form
    3,466.02/5,198.22 = 1,157.52/x
  3. Step 3: Cross multiply
    3,466.02x = 5,198.22 × 1,157.52
  4. Step 4: Simplify right side
    3,466.02x = 6,017,043.61
  5. Step 5: Solve for x
    x = 6,017,043.61/3,466.02
  6. Step 6: Final answer
    x = 1,736.01

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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.