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Finding the Fourth Proportional to 3,640, 5,023.24 and 1,984

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Solution

The fourth proportional to 3,640, 5,023.24 and 1,984 is: 2,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640 : 5,023.24 = 1,984 : x
  2. Step 2: Convert to fraction form
    3,640/5,023.24 = 1,984/x
  3. Step 3: Cross multiply
    3,640x = 5,023.24 × 1,984
  4. Step 4: Simplify right side
    3,640x = 9,966,108.16
  5. Step 5: Solve for x
    x = 9,966,108.16/3,640
  6. Step 6: Final answer
    x = 2,737.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.