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Finding the Fourth Proportional to 5,626, 8,433.24 and 2,341

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Solution

The fourth proportional to 5,626, 8,433.24 and 2,341 is: 3,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626 : 8,433.24 = 2,341 : x
  2. Step 2: Convert to fraction form
    5,626/8,433.24 = 2,341/x
  3. Step 3: Cross multiply
    5,626x = 8,433.24 × 2,341
  4. Step 4: Simplify right side
    5,626x = 19,742,214.84
  5. Step 5: Solve for x
    x = 19,742,214.84/5,626
  6. Step 6: Final answer
    x = 3,509.10

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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.