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Finding the Fourth Proportional to 5,815.16, 8,024.90 and 3,162.52

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Solution

The fourth proportional to 5,815.16, 8,024.90 and 3,162.52 is: 4,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.16 : 8,024.90 = 3,162.52 : x
  2. Step 2: Convert to fraction form
    5,815.16/8,024.90 = 3,162.52/x
  3. Step 3: Cross multiply
    5,815.16x = 8,024.90 × 3,162.52
  4. Step 4: Simplify right side
    5,815.16x = 25,378,906.75
  5. Step 5: Solve for x
    x = 25,378,906.75/5,815.16
  6. Step 6: Final answer
    x = 4,364.27

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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.