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Finding the Fourth Proportional to 4,558.43, 6,834.22 and 1,929.01

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Solution

The fourth proportional to 4,558.43, 6,834.22 and 1,929.01 is: 2,892.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.43 : 6,834.22 = 1,929.01 : x
  2. Step 2: Convert to fraction form
    4,558.43/6,834.22 = 1,929.01/x
  3. Step 3: Cross multiply
    4,558.43x = 6,834.22 × 1,929.01
  4. Step 4: Simplify right side
    4,558.43x = 13,183,278.72
  5. Step 5: Solve for x
    x = 13,183,278.72/4,558.43
  6. Step 6: Final answer
    x = 2,892.07

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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.