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Finding the Fourth Proportional to 3,740.97, 5,610.74 and 1,275.45

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Solution

The fourth proportional to 3,740.97, 5,610.74 and 1,275.45 is: 1,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.97 : 5,610.74 = 1,275.45 : x
  2. Step 2: Convert to fraction form
    3,740.97/5,610.74 = 1,275.45/x
  3. Step 3: Cross multiply
    3,740.97x = 5,610.74 × 1,275.45
  4. Step 4: Simplify right side
    3,740.97x = 7,156,211.96
  5. Step 5: Solve for x
    x = 7,156,211.96/3,740.97
  6. Step 6: Final answer
    x = 1,912.93

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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.