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Finding the Fourth Proportional to 3,743.35, 5,608 and 3,130.99

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Solution

The fourth proportional to 3,743.35, 5,608 and 3,130.99 is: 4,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.35 : 5,608 = 3,130.99 : x
  2. Step 2: Convert to fraction form
    3,743.35/5,608 = 3,130.99/x
  3. Step 3: Cross multiply
    3,743.35x = 5,608 × 3,130.99
  4. Step 4: Simplify right side
    3,743.35x = 17,558,591.92
  5. Step 5: Solve for x
    x = 17,558,591.92/3,743.35
  6. Step 6: Final answer
    x = 4,690.61

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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.