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Finding the Fourth Proportional to 3,469.26, 5,203.89 and 1,004.10

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Solution

The fourth proportional to 3,469.26, 5,203.89 and 1,004.10 is: 1,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.26 : 5,203.89 = 1,004.10 : x
  2. Step 2: Convert to fraction form
    3,469.26/5,203.89 = 1,004.10/x
  3. Step 3: Cross multiply
    3,469.26x = 5,203.89 × 1,004.10
  4. Step 4: Simplify right side
    3,469.26x = 5,225,225.95
  5. Step 5: Solve for x
    x = 5,225,225.95/3,469.26
  6. Step 6: Final answer
    x = 1,506.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.