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Finding the Fourth Proportional to 5,379.99, 8,070.02 and 2,456.25

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Solution

The fourth proportional to 5,379.99, 8,070.02 and 2,456.25 is: 3,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.99 : 8,070.02 = 2,456.25 : x
  2. Step 2: Convert to fraction form
    5,379.99/8,070.02 = 2,456.25/x
  3. Step 3: Cross multiply
    5,379.99x = 8,070.02 × 2,456.25
  4. Step 4: Simplify right side
    5,379.99x = 19,821,974.34
  5. Step 5: Solve for x
    x = 19,821,974.34/5,379.99
  6. Step 6: Final answer
    x = 3,684.39

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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.