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Finding the Fourth Proportional to 3,441.76, 5,165.04 and 2,578.32

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Solution

The fourth proportional to 3,441.76, 5,165.04 and 2,578.32 is: 3,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.76 : 5,165.04 = 2,578.32 : x
  2. Step 2: Convert to fraction form
    3,441.76/5,165.04 = 2,578.32/x
  3. Step 3: Cross multiply
    3,441.76x = 5,165.04 × 2,578.32
  4. Step 4: Simplify right side
    3,441.76x = 13,317,125.93
  5. Step 5: Solve for x
    x = 13,317,125.93/3,441.76
  6. Step 6: Final answer
    x = 3,869.28

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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.