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Finding the Fourth Proportional to 3,695.50, 5,091.12 and 2,574.41

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Solution

The fourth proportional to 3,695.50, 5,091.12 and 2,574.41 is: 3,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.50 : 5,091.12 = 2,574.41 : x
  2. Step 2: Convert to fraction form
    3,695.50/5,091.12 = 2,574.41/x
  3. Step 3: Cross multiply
    3,695.50x = 5,091.12 × 2,574.41
  4. Step 4: Simplify right side
    3,695.50x = 13,106,604.78
  5. Step 5: Solve for x
    x = 13,106,604.78/3,695.50
  6. Step 6: Final answer
    x = 3,546.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.