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Finding the Fourth Proportional to 3,817.08, 5,724.60 and 1,624.68

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Solution

The fourth proportional to 3,817.08, 5,724.60 and 1,624.68 is: 2,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.08 : 5,724.60 = 1,624.68 : x
  2. Step 2: Convert to fraction form
    3,817.08/5,724.60 = 1,624.68/x
  3. Step 3: Cross multiply
    3,817.08x = 5,724.60 × 1,624.68
  4. Step 4: Simplify right side
    3,817.08x = 9,300,643.13
  5. Step 5: Solve for x
    x = 9,300,643.13/3,817.08
  6. Step 6: Final answer
    x = 2,436.59

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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.