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Finding the Fourth Proportional to 4,266.55, 6,399.37 and 1,146.88

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Solution

The fourth proportional to 4,266.55, 6,399.37 and 1,146.88 is: 1,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.55 : 6,399.37 = 1,146.88 : x
  2. Step 2: Convert to fraction form
    4,266.55/6,399.37 = 1,146.88/x
  3. Step 3: Cross multiply
    4,266.55x = 6,399.37 × 1,146.88
  4. Step 4: Simplify right side
    4,266.55x = 7,339,309.47
  5. Step 5: Solve for x
    x = 7,339,309.47/4,266.55
  6. Step 6: Final answer
    x = 1,720.20

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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.