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Finding the Fourth Proportional to 5,492.25, 8,238.38 and 2,029.50

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Solution

The fourth proportional to 5,492.25, 8,238.38 and 2,029.50 is: 3,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.25 : 8,238.38 = 2,029.50 : x
  2. Step 2: Convert to fraction form
    5,492.25/8,238.38 = 2,029.50/x
  3. Step 3: Cross multiply
    5,492.25x = 8,238.38 × 2,029.50
  4. Step 4: Simplify right side
    5,492.25x = 16,719,782.06
  5. Step 5: Solve for x
    x = 16,719,782.06/5,492.25
  6. Step 6: Final answer
    x = 3,044.25

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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.