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Finding the Fourth Proportional to 3,632.86, 5,014.41 and 2,141.26

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Solution

The fourth proportional to 3,632.86, 5,014.41 and 2,141.26 is: 2,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.86 : 5,014.41 = 2,141.26 : x
  2. Step 2: Convert to fraction form
    3,632.86/5,014.41 = 2,141.26/x
  3. Step 3: Cross multiply
    3,632.86x = 5,014.41 × 2,141.26
  4. Step 4: Simplify right side
    3,632.86x = 10,737,130.48
  5. Step 5: Solve for x
    x = 10,737,130.48/3,632.86
  6. Step 6: Final answer
    x = 2,955.56

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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.