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Finding the Fourth Proportional to 5,190.77, 7,794.07 and 5,022.50

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Solution

The fourth proportional to 5,190.77, 7,794.07 and 5,022.50 is: 7,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.77 : 7,794.07 = 5,022.50 : x
  2. Step 2: Convert to fraction form
    5,190.77/7,794.07 = 5,022.50/x
  3. Step 3: Cross multiply
    5,190.77x = 7,794.07 × 5,022.50
  4. Step 4: Simplify right side
    5,190.77x = 39,145,665.05
  5. Step 5: Solve for x
    x = 39,145,665.05/5,190.77
  6. Step 6: Final answer
    x = 7,541.39

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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.