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Finding the Fourth Proportional to 4,756.41, 7,134.63 and 1,293.66

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Solution

The fourth proportional to 4,756.41, 7,134.63 and 1,293.66 is: 1,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.41 : 7,134.63 = 1,293.66 : x
  2. Step 2: Convert to fraction form
    4,756.41/7,134.63 = 1,293.66/x
  3. Step 3: Cross multiply
    4,756.41x = 7,134.63 × 1,293.66
  4. Step 4: Simplify right side
    4,756.41x = 9,229,785.45
  5. Step 5: Solve for x
    x = 9,229,785.45/4,756.41
  6. Step 6: Final answer
    x = 1,940.49

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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.