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Finding the Fourth Proportional to 4,767.81, 7,138.50 and 3,594.26

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Solution

The fourth proportional to 4,767.81, 7,138.50 and 3,594.26 is: 5,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.81 : 7,138.50 = 3,594.26 : x
  2. Step 2: Convert to fraction form
    4,767.81/7,138.50 = 3,594.26/x
  3. Step 3: Cross multiply
    4,767.81x = 7,138.50 × 3,594.26
  4. Step 4: Simplify right side
    4,767.81x = 25,657,589.32
  5. Step 5: Solve for x
    x = 25,657,589.32/4,767.81
  6. Step 6: Final answer
    x = 5,381.42

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