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Finding the Fourth Proportional to 5,197.87, 7,759.40 and 4,828.82

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Solution

The fourth proportional to 5,197.87, 7,759.40 and 4,828.82 is: 7,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.87 : 7,759.40 = 4,828.82 : x
  2. Step 2: Convert to fraction form
    5,197.87/7,759.40 = 4,828.82/x
  3. Step 3: Cross multiply
    5,197.87x = 7,759.40 × 4,828.82
  4. Step 4: Simplify right side
    5,197.87x = 37,468,682.97
  5. Step 5: Solve for x
    x = 37,468,682.97/5,197.87
  6. Step 6: Final answer
    x = 7,208.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.