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Finding the Fourth Proportional to 5,902.12, 8,828.86 and 4,850.28

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Solution

The fourth proportional to 5,902.12, 8,828.86 and 4,850.28 is: 7,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.12 : 8,828.86 = 4,850.28 : x
  2. Step 2: Convert to fraction form
    5,902.12/8,828.86 = 4,850.28/x
  3. Step 3: Cross multiply
    5,902.12x = 8,828.86 × 4,850.28
  4. Step 4: Simplify right side
    5,902.12x = 42,822,443.08
  5. Step 5: Solve for x
    x = 42,822,443.08/5,902.12
  6. Step 6: Final answer
    x = 7,255.43

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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.