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Finding the Fourth Proportional to 5,930.75, 8,896.13 and 1,548.20

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Solution

The fourth proportional to 5,930.75, 8,896.13 and 1,548.20 is: 2,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.75 : 8,896.13 = 1,548.20 : x
  2. Step 2: Convert to fraction form
    5,930.75/8,896.13 = 1,548.20/x
  3. Step 3: Cross multiply
    5,930.75x = 8,896.13 × 1,548.20
  4. Step 4: Simplify right side
    5,930.75x = 13,772,936.24
  5. Step 5: Solve for x
    x = 13,772,936.24/5,930.75
  6. Step 6: Final answer
    x = 2,322.29

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Similar ratio
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1.5x scale

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.