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Finding the Fourth Proportional to 3,726.86, 5,144.21 and 2,400.56

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Solution

The fourth proportional to 3,726.86, 5,144.21 and 2,400.56 is: 3,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.86 : 5,144.21 = 2,400.56 : x
  2. Step 2: Convert to fraction form
    3,726.86/5,144.21 = 2,400.56/x
  3. Step 3: Cross multiply
    3,726.86x = 5,144.21 × 2,400.56
  4. Step 4: Simplify right side
    3,726.86x = 12,348,947.03
  5. Step 5: Solve for x
    x = 12,348,947.03/3,726.86
  6. Step 6: Final answer
    x = 3,313.50

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