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Finding the Fourth Proportional to 3,635.58, 5,448.67 and 2,589.77

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Solution

The fourth proportional to 3,635.58, 5,448.67 and 2,589.77 is: 3,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.58 : 5,448.67 = 2,589.77 : x
  2. Step 2: Convert to fraction form
    3,635.58/5,448.67 = 2,589.77/x
  3. Step 3: Cross multiply
    3,635.58x = 5,448.67 × 2,589.77
  4. Step 4: Simplify right side
    3,635.58x = 14,110,809.25
  5. Step 5: Solve for x
    x = 14,110,809.25/3,635.58
  6. Step 6: Final answer
    x = 3,881.30

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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.