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Finding the Fourth Proportional to 3,817.04, 5,721.64 and 1,624.64

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Solution

The fourth proportional to 3,817.04, 5,721.64 and 1,624.64 is: 2,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.04 : 5,721.64 = 1,624.64 : x
  2. Step 2: Convert to fraction form
    3,817.04/5,721.64 = 1,624.64/x
  3. Step 3: Cross multiply
    3,817.04x = 5,721.64 × 1,624.64
  4. Step 4: Simplify right side
    3,817.04x = 9,295,605.21
  5. Step 5: Solve for x
    x = 9,295,605.21/3,817.04
  6. Step 6: Final answer
    x = 2,435.29

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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.