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Finding the Fourth Proportional to 3,858.86, 5,797.54 and 2,474.90

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Solution

The fourth proportional to 3,858.86, 5,797.54 and 2,474.90 is: 3,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.86 : 5,797.54 = 2,474.90 : x
  2. Step 2: Convert to fraction form
    3,858.86/5,797.54 = 2,474.90/x
  3. Step 3: Cross multiply
    3,858.86x = 5,797.54 × 2,474.90
  4. Step 4: Simplify right side
    3,858.86x = 14,348,327.59
  5. Step 5: Solve for x
    x = 14,348,327.59/3,858.86
  6. Step 6: Final answer
    x = 3,718.28

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Why These Related Problems?

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