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Finding the Fourth Proportional to 5,208.63, 7,814.07 and 1,511.03

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Solution

The fourth proportional to 5,208.63, 7,814.07 and 1,511.03 is: 2,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.63 : 7,814.07 = 1,511.03 : x
  2. Step 2: Convert to fraction form
    5,208.63/7,814.07 = 1,511.03/x
  3. Step 3: Cross multiply
    5,208.63x = 7,814.07 × 1,511.03
  4. Step 4: Simplify right side
    5,208.63x = 11,807,255.12
  5. Step 5: Solve for x
    x = 11,807,255.12/5,208.63
  6. Step 6: Final answer
    x = 2,266.86

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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.