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Finding the Fourth Proportional to 3,763.13, 5,638.10 and 2,004.41

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Solution

The fourth proportional to 3,763.13, 5,638.10 and 2,004.41 is: 3,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.13 : 5,638.10 = 2,004.41 : x
  2. Step 2: Convert to fraction form
    3,763.13/5,638.10 = 2,004.41/x
  3. Step 3: Cross multiply
    3,763.13x = 5,638.10 × 2,004.41
  4. Step 4: Simplify right side
    3,763.13x = 11,301,068.09
  5. Step 5: Solve for x
    x = 11,301,068.09/3,763.13
  6. Step 6: Final answer
    x = 3,003.11

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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.