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Finding the Fourth Proportional to 5,366.32, 8,047.80 and 1,902.80

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Solution

The fourth proportional to 5,366.32, 8,047.80 and 1,902.80 is: 2,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.32 : 8,047.80 = 1,902.80 : x
  2. Step 2: Convert to fraction form
    5,366.32/8,047.80 = 1,902.80/x
  3. Step 3: Cross multiply
    5,366.32x = 8,047.80 × 1,902.80
  4. Step 4: Simplify right side
    5,366.32x = 15,313,353.84
  5. Step 5: Solve for x
    x = 15,313,353.84/5,366.32
  6. Step 6: Final answer
    x = 2,853.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.