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Finding the Fourth Proportional to 5,238.86, 7,843.44 and 4,746.16

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Solution

The fourth proportional to 5,238.86, 7,843.44 and 4,746.16 is: 7,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.86 : 7,843.44 = 4,746.16 : x
  2. Step 2: Convert to fraction form
    5,238.86/7,843.44 = 4,746.16/x
  3. Step 3: Cross multiply
    5,238.86x = 7,843.44 × 4,746.16
  4. Step 4: Simplify right side
    5,238.86x = 37,226,221.19
  5. Step 5: Solve for x
    x = 37,226,221.19/5,238.86
  6. Step 6: Final answer
    x = 7,105.79

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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.