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Finding the Fourth Proportional to 3,911.61, 5,853.44 and 3,650.93

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Solution

The fourth proportional to 3,911.61, 5,853.44 and 3,650.93 is: 5,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.61 : 5,853.44 = 3,650.93 : x
  2. Step 2: Convert to fraction form
    3,911.61/5,853.44 = 3,650.93/x
  3. Step 3: Cross multiply
    3,911.61x = 5,853.44 × 3,650.93
  4. Step 4: Simplify right side
    3,911.61x = 21,370,452.18
  5. Step 5: Solve for x
    x = 21,370,452.18/3,911.61
  6. Step 6: Final answer
    x = 5,463.34

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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.