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Finding the Fourth Proportional to 5,368.25, 7,405.67 and 3,797.21

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Solution

The fourth proportional to 5,368.25, 7,405.67 and 3,797.21 is: 5,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.25 : 7,405.67 = 3,797.21 : x
  2. Step 2: Convert to fraction form
    5,368.25/7,405.67 = 3,797.21/x
  3. Step 3: Cross multiply
    5,368.25x = 7,405.67 × 3,797.21
  4. Step 4: Simplify right side
    5,368.25x = 28,120,865.19
  5. Step 5: Solve for x
    x = 28,120,865.19/5,368.25
  6. Step 6: Final answer
    x = 5,238.37

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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.