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Finding the Fourth Proportional to 5,404.44, 8,105.76 and 1,509.24

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Solution

The fourth proportional to 5,404.44, 8,105.76 and 1,509.24 is: 2,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.44 : 8,105.76 = 1,509.24 : x
  2. Step 2: Convert to fraction form
    5,404.44/8,105.76 = 1,509.24/x
  3. Step 3: Cross multiply
    5,404.44x = 8,105.76 × 1,509.24
  4. Step 4: Simplify right side
    5,404.44x = 12,233,537.22
  5. Step 5: Solve for x
    x = 12,233,537.22/5,404.44
  6. Step 6: Final answer
    x = 2,263.61

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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.