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Finding the Fourth Proportional to 4,266.59, 6,401.24 and 2,511.23

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Solution

The fourth proportional to 4,266.59, 6,401.24 and 2,511.23 is: 3,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.59 : 6,401.24 = 2,511.23 : x
  2. Step 2: Convert to fraction form
    4,266.59/6,401.24 = 2,511.23/x
  3. Step 3: Cross multiply
    4,266.59x = 6,401.24 × 2,511.23
  4. Step 4: Simplify right side
    4,266.59x = 16,074,941.36
  5. Step 5: Solve for x
    x = 16,074,941.36/4,266.59
  6. Step 6: Final answer
    x = 3,767.64

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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.