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Finding the Fourth Proportional to 3,740.44, 5,611.38 and 1,275.16

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Solution

The fourth proportional to 3,740.44, 5,611.38 and 1,275.16 is: 1,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.44 : 5,611.38 = 1,275.16 : x
  2. Step 2: Convert to fraction form
    3,740.44/5,611.38 = 1,275.16/x
  3. Step 3: Cross multiply
    3,740.44x = 5,611.38 × 1,275.16
  4. Step 4: Simplify right side
    3,740.44x = 7,155,407.32
  5. Step 5: Solve for x
    x = 7,155,407.32/3,740.44
  6. Step 6: Final answer
    x = 1,912.99

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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.