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Finding the Fourth Proportional to 3,483.66, 5,223.87 and 2,023.23

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Solution

The fourth proportional to 3,483.66, 5,223.87 and 2,023.23 is: 3,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.66 : 5,223.87 = 2,023.23 : x
  2. Step 2: Convert to fraction form
    3,483.66/5,223.87 = 2,023.23/x
  3. Step 3: Cross multiply
    3,483.66x = 5,223.87 × 2,023.23
  4. Step 4: Simplify right side
    3,483.66x = 10,569,090.50
  5. Step 5: Solve for x
    x = 10,569,090.50/3,483.66
  6. Step 6: Final answer
    x = 3,033.90

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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.