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Finding the Fourth Proportional to 5,208.24, 7,745.94 and 5,076.87

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Solution

The fourth proportional to 5,208.24, 7,745.94 and 5,076.87 is: 7,550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.24 : 7,745.94 = 5,076.87 : x
  2. Step 2: Convert to fraction form
    5,208.24/7,745.94 = 5,076.87/x
  3. Step 3: Cross multiply
    5,208.24x = 7,745.94 × 5,076.87
  4. Step 4: Simplify right side
    5,208.24x = 39,325,130.41
  5. Step 5: Solve for x
    x = 39,325,130.41/5,208.24
  6. Step 6: Final answer
    x = 7,550.56

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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.