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Finding the Fourth Proportional to 4,738.42, 7,107.81 and 1,275.76

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Solution

The fourth proportional to 4,738.42, 7,107.81 and 1,275.76 is: 1,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.42 : 7,107.81 = 1,275.76 : x
  2. Step 2: Convert to fraction form
    4,738.42/7,107.81 = 1,275.76/x
  3. Step 3: Cross multiply
    4,738.42x = 7,107.81 × 1,275.76
  4. Step 4: Simplify right side
    4,738.42x = 9,067,859.69
  5. Step 5: Solve for x
    x = 9,067,859.69/4,738.42
  6. Step 6: Final answer
    x = 1,913.69

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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.