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Finding the Fourth Proportional to 4,756.62, 7,134.09 and 1,293.06

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Solution

The fourth proportional to 4,756.62, 7,134.09 and 1,293.06 is: 1,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.62 : 7,134.09 = 1,293.06 : x
  2. Step 2: Convert to fraction form
    4,756.62/7,134.09 = 1,293.06/x
  3. Step 3: Cross multiply
    4,756.62x = 7,134.09 × 1,293.06
  4. Step 4: Simplify right side
    4,756.62x = 9,224,806.42
  5. Step 5: Solve for x
    x = 9,224,806.42/4,756.62
  6. Step 6: Final answer
    x = 1,939.36

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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.