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Finding the Fourth Proportional to 3,754.62, 5,178.42 and 3,503.12

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Solution

The fourth proportional to 3,754.62, 5,178.42 and 3,503.12 is: 4,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.62 : 5,178.42 = 3,503.12 : x
  2. Step 2: Convert to fraction form
    3,754.62/5,178.42 = 3,503.12/x
  3. Step 3: Cross multiply
    3,754.62x = 5,178.42 × 3,503.12
  4. Step 4: Simplify right side
    3,754.62x = 18,140,626.67
  5. Step 5: Solve for x
    x = 18,140,626.67/3,754.62
  6. Step 6: Final answer
    x = 4,831.55

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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.