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Finding the Fourth Proportional to 5,811.42, 8,019.50 and 3,293.38

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Solution

The fourth proportional to 5,811.42, 8,019.50 and 3,293.38 is: 4,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.42 : 8,019.50 = 3,293.38 : x
  2. Step 2: Convert to fraction form
    5,811.42/8,019.50 = 3,293.38/x
  3. Step 3: Cross multiply
    5,811.42x = 8,019.50 × 3,293.38
  4. Step 4: Simplify right side
    5,811.42x = 26,411,252.68
  5. Step 5: Solve for x
    x = 26,411,252.68/5,811.42
  6. Step 6: Final answer
    x = 4,544.72

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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.