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Finding the Fourth Proportional to 5,300.81, 7,951.22 and 1,602.96

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Solution

The fourth proportional to 5,300.81, 7,951.22 and 1,602.96 is: 2,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.81 : 7,951.22 = 1,602.96 : x
  2. Step 2: Convert to fraction form
    5,300.81/7,951.22 = 1,602.96/x
  3. Step 3: Cross multiply
    5,300.81x = 7,951.22 × 1,602.96
  4. Step 4: Simplify right side
    5,300.81x = 12,745,485.61
  5. Step 5: Solve for x
    x = 12,745,485.61/5,300.81
  6. Step 6: Final answer
    x = 2,404.44

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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.