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Finding the Fourth Proportional to 3,444.53, 5,165.17 and 1,596.51

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Solution

The fourth proportional to 3,444.53, 5,165.17 and 1,596.51 is: 2,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.53 : 5,165.17 = 1,596.51 : x
  2. Step 2: Convert to fraction form
    3,444.53/5,165.17 = 1,596.51/x
  3. Step 3: Cross multiply
    3,444.53x = 5,165.17 × 1,596.51
  4. Step 4: Simplify right side
    3,444.53x = 8,246,241.57
  5. Step 5: Solve for x
    x = 8,246,241.57/3,444.53
  6. Step 6: Final answer
    x = 2,394.01

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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.