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Finding the Fourth Proportional to 3,835.77, 5,295.62 and 3,614.34

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Solution

The fourth proportional to 3,835.77, 5,295.62 and 3,614.34 is: 4,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.77 : 5,295.62 = 3,614.34 : x
  2. Step 2: Convert to fraction form
    3,835.77/5,295.62 = 3,614.34/x
  3. Step 3: Cross multiply
    3,835.77x = 5,295.62 × 3,614.34
  4. Step 4: Simplify right side
    3,835.77x = 19,140,180.23
  5. Step 5: Solve for x
    x = 19,140,180.23/3,835.77
  6. Step 6: Final answer
    x = 4,989.92

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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.