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Finding the Fourth Proportional to 4,738.39, 7,107.26 and 1,451.20

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Solution

The fourth proportional to 4,738.39, 7,107.26 and 1,451.20 is: 2,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.39 : 7,107.26 = 1,451.20 : x
  2. Step 2: Convert to fraction form
    4,738.39/7,107.26 = 1,451.20/x
  3. Step 3: Cross multiply
    4,738.39x = 7,107.26 × 1,451.20
  4. Step 4: Simplify right side
    4,738.39x = 10,314,055.71
  5. Step 5: Solve for x
    x = 10,314,055.71/4,738.39
  6. Step 6: Final answer
    x = 2,176.70

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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.