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Finding the Fourth Proportional to 3,519.74, 5,257.13 and 3,185.67

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Solution

The fourth proportional to 3,519.74, 5,257.13 and 3,185.67 is: 4,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.74 : 5,257.13 = 3,185.67 : x
  2. Step 2: Convert to fraction form
    3,519.74/5,257.13 = 3,185.67/x
  3. Step 3: Cross multiply
    3,519.74x = 5,257.13 × 3,185.67
  4. Step 4: Simplify right side
    3,519.74x = 16,747,465.40
  5. Step 5: Solve for x
    x = 16,747,465.40/3,519.74
  6. Step 6: Final answer
    x = 4,758.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.