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Finding the Fourth Proportional to 5,208.74, 7,814.39 and 1,511.22

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Solution

The fourth proportional to 5,208.74, 7,814.39 and 1,511.22 is: 2,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.74 : 7,814.39 = 1,511.22 : x
  2. Step 2: Convert to fraction form
    5,208.74/7,814.39 = 1,511.22/x
  3. Step 3: Cross multiply
    5,208.74x = 7,814.39 × 1,511.22
  4. Step 4: Simplify right side
    5,208.74x = 11,809,254.90
  5. Step 5: Solve for x
    x = 11,809,254.90/5,208.74
  6. Step 6: Final answer
    x = 2,267.20

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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.