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Finding the Fourth Proportional to 4,650.75, 6,976.16 and 1,530.96

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Solution

The fourth proportional to 4,650.75, 6,976.16 and 1,530.96 is: 2,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.75 : 6,976.16 = 1,530.96 : x
  2. Step 2: Convert to fraction form
    4,650.75/6,976.16 = 1,530.96/x
  3. Step 3: Cross multiply
    4,650.75x = 6,976.16 × 1,530.96
  4. Step 4: Simplify right side
    4,650.75x = 10,680,221.91
  5. Step 5: Solve for x
    x = 10,680,221.91/4,650.75
  6. Step 6: Final answer
    x = 2,296.45

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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.