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Finding the Fourth Proportional to 3,146.57, 4,324.04 and 3,002.03

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Solution

The fourth proportional to 3,146.57, 4,324.04 and 3,002.03 is: 4,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.57 : 4,324.04 = 3,002.03 : x
  2. Step 2: Convert to fraction form
    3,146.57/4,324.04 = 3,002.03/x
  3. Step 3: Cross multiply
    3,146.57x = 4,324.04 × 3,002.03
  4. Step 4: Simplify right side
    3,146.57x = 12,980,861.17
  5. Step 5: Solve for x
    x = 12,980,861.17/3,146.57
  6. Step 6: Final answer
    x = 4,125.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.