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Finding the Fourth Proportional to 5,774, 8,662.47 and 1,614.01

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Solution

The fourth proportional to 5,774, 8,662.47 and 1,614.01 is: 2,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774 : 8,662.47 = 1,614.01 : x
  2. Step 2: Convert to fraction form
    5,774/8,662.47 = 1,614.01/x
  3. Step 3: Cross multiply
    5,774x = 8,662.47 × 1,614.01
  4. Step 4: Simplify right side
    5,774x = 13,981,313.20
  5. Step 5: Solve for x
    x = 13,981,313.20/5,774
  6. Step 6: Final answer
    x = 2,421.43

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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.