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Finding the Fourth Proportional to 3,756.70, 5,184.90 and 2,185.70

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Solution

The fourth proportional to 3,756.70, 5,184.90 and 2,185.70 is: 3,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.70 : 5,184.90 = 2,185.70 : x
  2. Step 2: Convert to fraction form
    3,756.70/5,184.90 = 2,185.70/x
  3. Step 3: Cross multiply
    3,756.70x = 5,184.90 × 2,185.70
  4. Step 4: Simplify right side
    3,756.70x = 11,332,635.93
  5. Step 5: Solve for x
    x = 11,332,635.93/3,756.70
  6. Step 6: Final answer
    x = 3,016.65

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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.