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Finding the Fourth Proportional to 3,674.16, 5,506.38 and 2,695.68

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Solution

The fourth proportional to 3,674.16, 5,506.38 and 2,695.68 is: 4,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.16 : 5,506.38 = 2,695.68 : x
  2. Step 2: Convert to fraction form
    3,674.16/5,506.38 = 2,695.68/x
  3. Step 3: Cross multiply
    3,674.16x = 5,506.38 × 2,695.68
  4. Step 4: Simplify right side
    3,674.16x = 14,843,438.44
  5. Step 5: Solve for x
    x = 14,843,438.44/3,674.16
  6. Step 6: Final answer
    x = 4,039.95

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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.