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Finding the Fourth Proportional to 3,626.50, 5,004.57 and 1,970.50

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Solution

The fourth proportional to 3,626.50, 5,004.57 and 1,970.50 is: 2,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.50 : 5,004.57 = 1,970.50 : x
  2. Step 2: Convert to fraction form
    3,626.50/5,004.57 = 1,970.50/x
  3. Step 3: Cross multiply
    3,626.50x = 5,004.57 × 1,970.50
  4. Step 4: Simplify right side
    3,626.50x = 9,861,505.19
  5. Step 5: Solve for x
    x = 9,861,505.19/3,626.50
  6. Step 6: Final answer
    x = 2,719.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.