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Finding the Fourth Proportional to 4,164.96, 6,250.17 and 1,532.49

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Solution

The fourth proportional to 4,164.96, 6,250.17 and 1,532.49 is: 2,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.96 : 6,250.17 = 1,532.49 : x
  2. Step 2: Convert to fraction form
    4,164.96/6,250.17 = 1,532.49/x
  3. Step 3: Cross multiply
    4,164.96x = 6,250.17 × 1,532.49
  4. Step 4: Simplify right side
    4,164.96x = 9,578,323.02
  5. Step 5: Solve for x
    x = 9,578,323.02/4,164.96
  6. Step 6: Final answer
    x = 2,299.74

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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.