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Finding the Fourth Proportional to 5,219.75, 7,833.98 and 4,891.32

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Solution

The fourth proportional to 5,219.75, 7,833.98 and 4,891.32 is: 7,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.75 : 7,833.98 = 4,891.32 : x
  2. Step 2: Convert to fraction form
    5,219.75/7,833.98 = 4,891.32/x
  3. Step 3: Cross multiply
    5,219.75x = 7,833.98 × 4,891.32
  4. Step 4: Simplify right side
    5,219.75x = 38,318,515.28
  5. Step 5: Solve for x
    x = 38,318,515.28/5,219.75
  6. Step 6: Final answer
    x = 7,341.06

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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.