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Finding the Fourth Proportional to 3,492.96, 5,239.48 and 1,027.83

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Solution

The fourth proportional to 3,492.96, 5,239.48 and 1,027.83 is: 1,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.96 : 5,239.48 = 1,027.83 : x
  2. Step 2: Convert to fraction form
    3,492.96/5,239.48 = 1,027.83/x
  3. Step 3: Cross multiply
    3,492.96x = 5,239.48 × 1,027.83
  4. Step 4: Simplify right side
    3,492.96x = 5,385,294.73
  5. Step 5: Solve for x
    x = 5,385,294.73/3,492.96
  6. Step 6: Final answer
    x = 1,541.76

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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.