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Finding the Fourth Proportional to 4,756.46, 7,134.69 and 1,293.71

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Solution

The fourth proportional to 4,756.46, 7,134.69 and 1,293.71 is: 1,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.46 : 7,134.69 = 1,293.71 : x
  2. Step 2: Convert to fraction form
    4,756.46/7,134.69 = 1,293.71/x
  3. Step 3: Cross multiply
    4,756.46x = 7,134.69 × 1,293.71
  4. Step 4: Simplify right side
    4,756.46x = 9,230,219.80
  5. Step 5: Solve for x
    x = 9,230,219.80/4,756.46
  6. Step 6: Final answer
    x = 1,940.57

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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.