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Finding the Fourth Proportional to 3,648.58, 5,035.02 and 1,992.58

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Solution

The fourth proportional to 3,648.58, 5,035.02 and 1,992.58 is: 2,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.58 : 5,035.02 = 1,992.58 : x
  2. Step 2: Convert to fraction form
    3,648.58/5,035.02 = 1,992.58/x
  3. Step 3: Cross multiply
    3,648.58x = 5,035.02 × 1,992.58
  4. Step 4: Simplify right side
    3,648.58x = 10,032,680.15
  5. Step 5: Solve for x
    x = 10,032,680.15/3,648.58
  6. Step 6: Final answer
    x = 2,749.75

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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.