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Finding the Fourth Proportional to 5,782.16, 8,678.16 and 2,274.62

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Solution

The fourth proportional to 5,782.16, 8,678.16 and 2,274.62 is: 3,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.16 : 8,678.16 = 2,274.62 : x
  2. Step 2: Convert to fraction form
    5,782.16/8,678.16 = 2,274.62/x
  3. Step 3: Cross multiply
    5,782.16x = 8,678.16 × 2,274.62
  4. Step 4: Simplify right side
    5,782.16x = 19,739,537.99
  5. Step 5: Solve for x
    x = 19,739,537.99/5,782.16
  6. Step 6: Final answer
    x = 3,413.87

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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.