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Finding the Fourth Proportional to 5,797, 8,683.98 and 2,866.36

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Solution

The fourth proportional to 5,797, 8,683.98 and 2,866.36 is: 4,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797 : 8,683.98 = 2,866.36 : x
  2. Step 2: Convert to fraction form
    5,797/8,683.98 = 2,866.36/x
  3. Step 3: Cross multiply
    5,797x = 8,683.98 × 2,866.36
  4. Step 4: Simplify right side
    5,797x = 24,891,412.91
  5. Step 5: Solve for x
    x = 24,891,412.91/5,797
  6. Step 6: Final answer
    x = 4,293.84

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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.