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Finding the Fourth Proportional to 3,451.95, 5,178.74 and 1,504.71

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Solution

The fourth proportional to 3,451.95, 5,178.74 and 1,504.71 is: 2,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.95 : 5,178.74 = 1,504.71 : x
  2. Step 2: Convert to fraction form
    3,451.95/5,178.74 = 1,504.71/x
  3. Step 3: Cross multiply
    3,451.95x = 5,178.74 × 1,504.71
  4. Step 4: Simplify right side
    3,451.95x = 7,792,494.34
  5. Step 5: Solve for x
    x = 7,792,494.34/3,451.95
  6. Step 6: Final answer
    x = 2,257.42

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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.