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Finding the Fourth Proportional to 5,208.65, 7,814.34 and 1,511.22

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Solution

The fourth proportional to 5,208.65, 7,814.34 and 1,511.22 is: 2,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.65 : 7,814.34 = 1,511.22 : x
  2. Step 2: Convert to fraction form
    5,208.65/7,814.34 = 1,511.22/x
  3. Step 3: Cross multiply
    5,208.65x = 7,814.34 × 1,511.22
  4. Step 4: Simplify right side
    5,208.65x = 11,809,186.89
  5. Step 5: Solve for x
    x = 11,809,186.89/5,208.65
  6. Step 6: Final answer
    x = 2,267.23

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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.