Home / 5,214.23-7,822.62-1,704.44

Finding the Fourth Proportional to 5,214.23, 7,822.62 and 1,704.44

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Solution

The fourth proportional to 5,214.23, 7,822.62 and 1,704.44 is: 2,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.23 : 7,822.62 = 1,704.44 : x
  2. Step 2: Convert to fraction form
    5,214.23/7,822.62 = 1,704.44/x
  3. Step 3: Cross multiply
    5,214.23x = 7,822.62 × 1,704.44
  4. Step 4: Simplify right side
    5,214.23x = 13,333,147.32
  5. Step 5: Solve for x
    x = 13,333,147.32/5,214.23
  6. Step 6: Final answer
    x = 2,557.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.