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Finding the Fourth Proportional to 4,738.02, 7,107 and 1,275.27

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Solution

The fourth proportional to 4,738.02, 7,107 and 1,275.27 is: 1,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.02 : 7,107 = 1,275.27 : x
  2. Step 2: Convert to fraction form
    4,738.02/7,107 = 1,275.27/x
  3. Step 3: Cross multiply
    4,738.02x = 7,107 × 1,275.27
  4. Step 4: Simplify right side
    4,738.02x = 9,063,343.89
  5. Step 5: Solve for x
    x = 9,063,343.89/4,738.02
  6. Step 6: Final answer
    x = 1,912.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.