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Finding the Fourth Proportional to 3,561.75, 5,342.56 and 1,370.95

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Solution

The fourth proportional to 3,561.75, 5,342.56 and 1,370.95 is: 2,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.75 : 5,342.56 = 1,370.95 : x
  2. Step 2: Convert to fraction form
    3,561.75/5,342.56 = 1,370.95/x
  3. Step 3: Cross multiply
    3,561.75x = 5,342.56 × 1,370.95
  4. Step 4: Simplify right side
    3,561.75x = 7,324,391.02
  5. Step 5: Solve for x
    x = 7,324,391.02/3,561.75
  6. Step 6: Final answer
    x = 2,056.40

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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.