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Finding the Fourth Proportional to 5,957.72, 8,950.48 and 3,494.24

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Solution

The fourth proportional to 5,957.72, 8,950.48 and 3,494.24 is: 5,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.72 : 8,950.48 = 3,494.24 : x
  2. Step 2: Convert to fraction form
    5,957.72/8,950.48 = 3,494.24/x
  3. Step 3: Cross multiply
    5,957.72x = 8,950.48 × 3,494.24
  4. Step 4: Simplify right side
    5,957.72x = 31,275,125.24
  5. Step 5: Solve for x
    x = 31,275,125.24/5,957.72
  6. Step 6: Final answer
    x = 5,249.51

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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.