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Finding the Fourth Proportional to 5,813.96, 8,764.74 and 5,438.12

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Solution

The fourth proportional to 5,813.96, 8,764.74 and 5,438.12 is: 8,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.96 : 8,764.74 = 5,438.12 : x
  2. Step 2: Convert to fraction form
    5,813.96/8,764.74 = 5,438.12/x
  3. Step 3: Cross multiply
    5,813.96x = 8,764.74 × 5,438.12
  4. Step 4: Simplify right side
    5,813.96x = 47,663,664.07
  5. Step 5: Solve for x
    x = 47,663,664.07/5,813.96
  6. Step 6: Final answer
    x = 8,198.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.