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Finding the Fourth Proportional to 3,762.57, 5,190.70 and 2,269.65

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Solution

The fourth proportional to 3,762.57, 5,190.70 and 2,269.65 is: 3,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.57 : 5,190.70 = 2,269.65 : x
  2. Step 2: Convert to fraction form
    3,762.57/5,190.70 = 2,269.65/x
  3. Step 3: Cross multiply
    3,762.57x = 5,190.70 × 2,269.65
  4. Step 4: Simplify right side
    3,762.57x = 11,781,072.26
  5. Step 5: Solve for x
    x = 11,781,072.26/3,762.57
  6. Step 6: Final answer
    x = 3,131.12

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1.5x scale

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.