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Finding the Fourth Proportional to 3,669.40, 5,503.26 and 1,589.32

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Solution

The fourth proportional to 3,669.40, 5,503.26 and 1,589.32 is: 2,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.40 : 5,503.26 = 1,589.32 : x
  2. Step 2: Convert to fraction form
    3,669.40/5,503.26 = 1,589.32/x
  3. Step 3: Cross multiply
    3,669.40x = 5,503.26 × 1,589.32
  4. Step 4: Simplify right side
    3,669.40x = 8,746,441.18
  5. Step 5: Solve for x
    x = 8,746,441.18/3,669.40
  6. Step 6: Final answer
    x = 2,383.62

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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.