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Finding the Fourth Proportional to 5,108.26, 7,662.40 and 2,030.26

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Solution

The fourth proportional to 5,108.26, 7,662.40 and 2,030.26 is: 3,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.26 : 7,662.40 = 2,030.26 : x
  2. Step 2: Convert to fraction form
    5,108.26/7,662.40 = 2,030.26/x
  3. Step 3: Cross multiply
    5,108.26x = 7,662.40 × 2,030.26
  4. Step 4: Simplify right side
    5,108.26x = 15,556,664.22
  5. Step 5: Solve for x
    x = 15,556,664.22/5,108.26
  6. Step 6: Final answer
    x = 3,045.39

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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.