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Finding the Fourth Proportional to 3,828.60, 5,740.47 and 2,958.66

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Solution

The fourth proportional to 3,828.60, 5,740.47 and 2,958.66 is: 4,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.60 : 5,740.47 = 2,958.66 : x
  2. Step 2: Convert to fraction form
    3,828.60/5,740.47 = 2,958.66/x
  3. Step 3: Cross multiply
    3,828.60x = 5,740.47 × 2,958.66
  4. Step 4: Simplify right side
    3,828.60x = 16,984,098.97
  5. Step 5: Solve for x
    x = 16,984,098.97/3,828.60
  6. Step 6: Final answer
    x = 4,436.11

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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.