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Finding the Fourth Proportional to 3,762.48, 5,192.52 and 2,190

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Solution

The fourth proportional to 3,762.48, 5,192.52 and 2,190 is: 3,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.48 : 5,192.52 = 2,190 : x
  2. Step 2: Convert to fraction form
    3,762.48/5,192.52 = 2,190/x
  3. Step 3: Cross multiply
    3,762.48x = 5,192.52 × 2,190
  4. Step 4: Simplify right side
    3,762.48x = 11,371,618.80
  5. Step 5: Solve for x
    x = 11,371,618.80/3,762.48
  6. Step 6: Final answer
    x = 3,022.37

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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.