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Finding the Fourth Proportional to 5,904.24, 8,151.24 and 3,917.49

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Solution

The fourth proportional to 5,904.24, 8,151.24 and 3,917.49 is: 5,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.24 : 8,151.24 = 3,917.49 : x
  2. Step 2: Convert to fraction form
    5,904.24/8,151.24 = 3,917.49/x
  3. Step 3: Cross multiply
    5,904.24x = 8,151.24 × 3,917.49
  4. Step 4: Simplify right side
    5,904.24x = 31,932,401.19
  5. Step 5: Solve for x
    x = 31,932,401.19/5,904.24
  6. Step 6: Final answer
    x = 5,408.38

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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.