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Finding the Fourth Proportional to 4,200.26, 6,303.26 and 1,464.26

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Solution

The fourth proportional to 4,200.26, 6,303.26 and 1,464.26 is: 2,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.26 : 6,303.26 = 1,464.26 : x
  2. Step 2: Convert to fraction form
    4,200.26/6,303.26 = 1,464.26/x
  3. Step 3: Cross multiply
    4,200.26x = 6,303.26 × 1,464.26
  4. Step 4: Simplify right side
    4,200.26x = 9,229,611.49
  5. Step 5: Solve for x
    x = 9,229,611.49/4,200.26
  6. Step 6: Final answer
    x = 2,197.39

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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.