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Finding the Fourth Proportional to 3,585.63, 4,948.32 and 1,992.27

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Solution

The fourth proportional to 3,585.63, 4,948.32 and 1,992.27 is: 2,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.63 : 4,948.32 = 1,992.27 : x
  2. Step 2: Convert to fraction form
    3,585.63/4,948.32 = 1,992.27/x
  3. Step 3: Cross multiply
    3,585.63x = 4,948.32 × 1,992.27
  4. Step 4: Simplify right side
    3,585.63x = 9,858,408.04
  5. Step 5: Solve for x
    x = 9,858,408.04/3,585.63
  6. Step 6: Final answer
    x = 2,749.42

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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.