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Finding the Fourth Proportional to 3,492.73, 5,235.96 and 1,299.96

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Solution

The fourth proportional to 3,492.73, 5,235.96 and 1,299.96 is: 1,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.73 : 5,235.96 = 1,299.96 : x
  2. Step 2: Convert to fraction form
    3,492.73/5,235.96 = 1,299.96/x
  3. Step 3: Cross multiply
    3,492.73x = 5,235.96 × 1,299.96
  4. Step 4: Simplify right side
    3,492.73x = 6,806,538.56
  5. Step 5: Solve for x
    x = 6,806,538.56/3,492.73
  6. Step 6: Final answer
    x = 1,948.77

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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.