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Finding the Fourth Proportional to 3,586.23, 4,948.49 and 1,992.77

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Solution

The fourth proportional to 3,586.23, 4,948.49 and 1,992.77 is: 2,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.23 : 4,948.49 = 1,992.77 : x
  2. Step 2: Convert to fraction form
    3,586.23/4,948.49 = 1,992.77/x
  3. Step 3: Cross multiply
    3,586.23x = 4,948.49 × 1,992.77
  4. Step 4: Simplify right side
    3,586.23x = 9,861,167.71
  5. Step 5: Solve for x
    x = 9,861,167.71/3,586.23
  6. Step 6: Final answer
    x = 2,749.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.