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Finding the Fourth Proportional to 3,647.02, 5,469.91 and 1,455.16

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Solution

The fourth proportional to 3,647.02, 5,469.91 and 1,455.16 is: 2,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.02 : 5,469.91 = 1,455.16 : x
  2. Step 2: Convert to fraction form
    3,647.02/5,469.91 = 1,455.16/x
  3. Step 3: Cross multiply
    3,647.02x = 5,469.91 × 1,455.16
  4. Step 4: Simplify right side
    3,647.02x = 7,959,594.24
  5. Step 5: Solve for x
    x = 7,959,594.24/3,647.02
  6. Step 6: Final answer
    x = 2,182.49

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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.