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Finding the Fourth Proportional to 4,329.42, 5,974.64 and 2,441.03

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Solution

The fourth proportional to 4,329.42, 5,974.64 and 2,441.03 is: 3,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.42 : 5,974.64 = 2,441.03 : x
  2. Step 2: Convert to fraction form
    4,329.42/5,974.64 = 2,441.03/x
  3. Step 3: Cross multiply
    4,329.42x = 5,974.64 × 2,441.03
  4. Step 4: Simplify right side
    4,329.42x = 14,584,233.40
  5. Step 5: Solve for x
    x = 14,584,233.40/4,329.42
  6. Step 6: Final answer
    x = 3,368.63

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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.