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Finding the Fourth Proportional to 3,492.83, 5,239.26 and 1,027.68

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Solution

The fourth proportional to 3,492.83, 5,239.26 and 1,027.68 is: 1,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.83 : 5,239.26 = 1,027.68 : x
  2. Step 2: Convert to fraction form
    3,492.83/5,239.26 = 1,027.68/x
  3. Step 3: Cross multiply
    3,492.83x = 5,239.26 × 1,027.68
  4. Step 4: Simplify right side
    3,492.83x = 5,384,282.72
  5. Step 5: Solve for x
    x = 5,384,282.72/3,492.83
  6. Step 6: Final answer
    x = 1,541.53

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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.