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Finding the Fourth Proportional to 6,388.68, 8,814 and 4,294.20

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Solution

The fourth proportional to 6,388.68, 8,814 and 4,294.20 is: 5,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.68 : 8,814 = 4,294.20 : x
  2. Step 2: Convert to fraction form
    6,388.68/8,814 = 4,294.20/x
  3. Step 3: Cross multiply
    6,388.68x = 8,814 × 4,294.20
  4. Step 4: Simplify right side
    6,388.68x = 37,849,078.80
  5. Step 5: Solve for x
    x = 37,849,078.80/6,388.68
  6. Step 6: Final answer
    x = 5,924.40

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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.