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Finding the Fourth Proportional to 3,501.43, 4,832.04 and 1,929.52

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Solution

The fourth proportional to 3,501.43, 4,832.04 and 1,929.52 is: 2,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.43 : 4,832.04 = 1,929.52 : x
  2. Step 2: Convert to fraction form
    3,501.43/4,832.04 = 1,929.52/x
  3. Step 3: Cross multiply
    3,501.43x = 4,832.04 × 1,929.52
  4. Step 4: Simplify right side
    3,501.43x = 9,323,531.10
  5. Step 5: Solve for x
    x = 9,323,531.10/3,501.43
  6. Step 6: Final answer
    x = 2,662.78

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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.