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Finding the Fourth Proportional to 3,532.44, 5,298.59 and 1,892.19

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Solution

The fourth proportional to 3,532.44, 5,298.59 and 1,892.19 is: 2,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.44 : 5,298.59 = 1,892.19 : x
  2. Step 2: Convert to fraction form
    3,532.44/5,298.59 = 1,892.19/x
  3. Step 3: Cross multiply
    3,532.44x = 5,298.59 × 1,892.19
  4. Step 4: Simplify right side
    3,532.44x = 10,025,929.55
  5. Step 5: Solve for x
    x = 10,025,929.55/3,532.44
  6. Step 6: Final answer
    x = 2,838.24

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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.