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Finding the Fourth Proportional to 3,736.40, 5,597.76 and 3,151.60

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Solution

The fourth proportional to 3,736.40, 5,597.76 and 3,151.60 is: 4,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.40 : 5,597.76 = 3,151.60 : x
  2. Step 2: Convert to fraction form
    3,736.40/5,597.76 = 3,151.60/x
  3. Step 3: Cross multiply
    3,736.40x = 5,597.76 × 3,151.60
  4. Step 4: Simplify right side
    3,736.40x = 17,641,900.42
  5. Step 5: Solve for x
    x = 17,641,900.42/3,736.40
  6. Step 6: Final answer
    x = 4,721.63

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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.