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Finding the Fourth Proportional to 3,492.34, 5,239.24 and 3,143.80

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Solution

The fourth proportional to 3,492.34, 5,239.24 and 3,143.80 is: 4,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.34 : 5,239.24 = 3,143.80 : x
  2. Step 2: Convert to fraction form
    3,492.34/5,239.24 = 3,143.80/x
  3. Step 3: Cross multiply
    3,492.34x = 5,239.24 × 3,143.80
  4. Step 4: Simplify right side
    3,492.34x = 16,471,122.71
  5. Step 5: Solve for x
    x = 16,471,122.71/3,492.34
  6. Step 6: Final answer
    x = 4,716.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.