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Finding the Fourth Proportional to 5,201.67, 7,795.29 and 2,858.84

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Solution

The fourth proportional to 5,201.67, 7,795.29 and 2,858.84 is: 4,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.67 : 7,795.29 = 2,858.84 : x
  2. Step 2: Convert to fraction form
    5,201.67/7,795.29 = 2,858.84/x
  3. Step 3: Cross multiply
    5,201.67x = 7,795.29 × 2,858.84
  4. Step 4: Simplify right side
    5,201.67x = 22,285,515.61
  5. Step 5: Solve for x
    x = 22,285,515.61/5,201.67
  6. Step 6: Final answer
    x = 4,284.30

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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.