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Finding the Fourth Proportional to 5,745.52, 7,906.02 and 5,574.24

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Solution

The fourth proportional to 5,745.52, 7,906.02 and 5,574.24 is: 7,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.52 : 7,906.02 = 5,574.24 : x
  2. Step 2: Convert to fraction form
    5,745.52/7,906.02 = 5,574.24/x
  3. Step 3: Cross multiply
    5,745.52x = 7,906.02 × 5,574.24
  4. Step 4: Simplify right side
    5,745.52x = 44,070,052.92
  5. Step 5: Solve for x
    x = 44,070,052.92/5,745.52
  6. Step 6: Final answer
    x = 7,670.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.