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Finding the Fourth Proportional to 3,878.79, 5,790.03 and 3,589.68

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Solution

The fourth proportional to 3,878.79, 5,790.03 and 3,589.68 is: 5,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.79 : 5,790.03 = 3,589.68 : x
  2. Step 2: Convert to fraction form
    3,878.79/5,790.03 = 3,589.68/x
  3. Step 3: Cross multiply
    3,878.79x = 5,790.03 × 3,589.68
  4. Step 4: Simplify right side
    3,878.79x = 20,784,354.89
  5. Step 5: Solve for x
    x = 20,784,354.89/3,878.79
  6. Step 6: Final answer
    x = 5,358.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.