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Finding the Fourth Proportional to 4,633.49, 6,951.03 and 1,512.62

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Solution

The fourth proportional to 4,633.49, 6,951.03 and 1,512.62 is: 2,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.49 : 6,951.03 = 1,512.62 : x
  2. Step 2: Convert to fraction form
    4,633.49/6,951.03 = 1,512.62/x
  3. Step 3: Cross multiply
    4,633.49x = 6,951.03 × 1,512.62
  4. Step 4: Simplify right side
    4,633.49x = 10,514,267.00
  5. Step 5: Solve for x
    x = 10,514,267.00/4,633.49
  6. Step 6: Final answer
    x = 2,269.19

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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.