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Finding the Fourth Proportional to 3,496.61, 5,245.73 and 1,156.52

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Solution

The fourth proportional to 3,496.61, 5,245.73 and 1,156.52 is: 1,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.61 : 5,245.73 = 1,156.52 : x
  2. Step 2: Convert to fraction form
    3,496.61/5,245.73 = 1,156.52/x
  3. Step 3: Cross multiply
    3,496.61x = 5,245.73 × 1,156.52
  4. Step 4: Simplify right side
    3,496.61x = 6,066,791.66
  5. Step 5: Solve for x
    x = 6,066,791.66/3,496.61
  6. Step 6: Final answer
    x = 1,735.05

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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.