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Finding the Fourth Proportional to 4,650.92, 6,976.39 and 1,140.94

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Solution

The fourth proportional to 4,650.92, 6,976.39 and 1,140.94 is: 1,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.92 : 6,976.39 = 1,140.94 : x
  2. Step 2: Convert to fraction form
    4,650.92/6,976.39 = 1,140.94/x
  3. Step 3: Cross multiply
    4,650.92x = 6,976.39 × 1,140.94
  4. Step 4: Simplify right side
    4,650.92x = 7,959,642.41
  5. Step 5: Solve for x
    x = 7,959,642.41/4,650.92
  6. Step 6: Final answer
    x = 1,711.41

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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.