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Finding the Fourth Proportional to 4,329.86, 5,973.75 and 2,441.14

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Solution

The fourth proportional to 4,329.86, 5,973.75 and 2,441.14 is: 3,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.86 : 5,973.75 = 2,441.14 : x
  2. Step 2: Convert to fraction form
    4,329.86/5,973.75 = 2,441.14/x
  3. Step 3: Cross multiply
    4,329.86x = 5,973.75 × 2,441.14
  4. Step 4: Simplify right side
    4,329.86x = 14,582,745.14
  5. Step 5: Solve for x
    x = 14,582,745.14/4,329.86
  6. Step 6: Final answer
    x = 3,367.95

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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.