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Finding the Fourth Proportional to 3,485.88, 5,198.07 and 3,002.04

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Solution

The fourth proportional to 3,485.88, 5,198.07 and 3,002.04 is: 4,476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.88 : 5,198.07 = 3,002.04 : x
  2. Step 2: Convert to fraction form
    3,485.88/5,198.07 = 3,002.04/x
  3. Step 3: Cross multiply
    3,485.88x = 5,198.07 × 3,002.04
  4. Step 4: Simplify right side
    3,485.88x = 15,604,814.06
  5. Step 5: Solve for x
    x = 15,604,814.06/3,485.88
  6. Step 6: Final answer
    x = 4,476.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.