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Finding the Fourth Proportional to 5,544.30, 8,314.62 and 1,845.50

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Solution

The fourth proportional to 5,544.30, 8,314.62 and 1,845.50 is: 2,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,544.30 : 8,314.62 = 1,845.50 : x
  2. Step 2: Convert to fraction form
    5,544.30/8,314.62 = 1,845.50/x
  3. Step 3: Cross multiply
    5,544.30x = 8,314.62 × 1,845.50
  4. Step 4: Simplify right side
    5,544.30x = 15,344,631.21
  5. Step 5: Solve for x
    x = 15,344,631.21/5,544.30
  6. Step 6: Final answer
    x = 2,767.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.