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Finding the Fourth Proportional to 5,318.91, 7,978.37 and 1,423.22

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Solution

The fourth proportional to 5,318.91, 7,978.37 and 1,423.22 is: 2,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.91 : 7,978.37 = 1,423.22 : x
  2. Step 2: Convert to fraction form
    5,318.91/7,978.37 = 1,423.22/x
  3. Step 3: Cross multiply
    5,318.91x = 7,978.37 × 1,423.22
  4. Step 4: Simplify right side
    5,318.91x = 11,354,948.69
  5. Step 5: Solve for x
    x = 11,354,948.69/5,318.91
  6. Step 6: Final answer
    x = 2,134.83

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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.