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Finding the Fourth Proportional to 3,613.50, 5,415.66 and 1,532.48

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Solution

The fourth proportional to 3,613.50, 5,415.66 and 1,532.48 is: 2,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.50 : 5,415.66 = 1,532.48 : x
  2. Step 2: Convert to fraction form
    3,613.50/5,415.66 = 1,532.48/x
  3. Step 3: Cross multiply
    3,613.50x = 5,415.66 × 1,532.48
  4. Step 4: Simplify right side
    3,613.50x = 8,299,363.56
  5. Step 5: Solve for x
    x = 8,299,363.56/3,613.50
  6. Step 6: Final answer
    x = 2,296.77

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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.