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Finding the Fourth Proportional to 5,816.92, 8,031 and 5,219.32

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Solution

The fourth proportional to 5,816.92, 8,031 and 5,219.32 is: 7,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.92 : 8,031 = 5,219.32 : x
  2. Step 2: Convert to fraction form
    5,816.92/8,031 = 5,219.32/x
  3. Step 3: Cross multiply
    5,816.92x = 8,031 × 5,219.32
  4. Step 4: Simplify right side
    5,816.92x = 41,916,358.92
  5. Step 5: Solve for x
    x = 41,916,358.92/5,816.92
  6. Step 6: Final answer
    x = 7,205.94

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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.