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Finding the Fourth Proportional to 3,937.44, 5,903.28 and 3,396

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Solution

The fourth proportional to 3,937.44, 5,903.28 and 3,396 is: 5,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.44 : 5,903.28 = 3,396 : x
  2. Step 2: Convert to fraction form
    3,937.44/5,903.28 = 3,396/x
  3. Step 3: Cross multiply
    3,937.44x = 5,903.28 × 3,396
  4. Step 4: Simplify right side
    3,937.44x = 20,047,538.88
  5. Step 5: Solve for x
    x = 20,047,538.88/3,937.44
  6. Step 6: Final answer
    x = 5,091.52

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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.