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Finding the Fourth Proportional to 3,786.02, 5,642.35 and 3,589.19

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Solution

The fourth proportional to 3,786.02, 5,642.35 and 3,589.19 is: 5,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.02 : 5,642.35 = 3,589.19 : x
  2. Step 2: Convert to fraction form
    3,786.02/5,642.35 = 3,589.19/x
  3. Step 3: Cross multiply
    3,786.02x = 5,642.35 × 3,589.19
  4. Step 4: Simplify right side
    3,786.02x = 20,251,466.20
  5. Step 5: Solve for x
    x = 20,251,466.20/3,786.02
  6. Step 6: Final answer
    x = 5,349.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.