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Finding the Fourth Proportional to 3,627.96, 5,441.28 and 1,653.13

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Solution

The fourth proportional to 3,627.96, 5,441.28 and 1,653.13 is: 2,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.96 : 5,441.28 = 1,653.13 : x
  2. Step 2: Convert to fraction form
    3,627.96/5,441.28 = 1,653.13/x
  3. Step 3: Cross multiply
    3,627.96x = 5,441.28 × 1,653.13
  4. Step 4: Simplify right side
    3,627.96x = 8,995,143.21
  5. Step 5: Solve for x
    x = 8,995,143.21/3,627.96
  6. Step 6: Final answer
    x = 2,479.39

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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.