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Finding the Fourth Proportional to 5,670.25, 7,821.95 and 3,369.33

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Solution

The fourth proportional to 5,670.25, 7,821.95 and 3,369.33 is: 4,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.25 : 7,821.95 = 3,369.33 : x
  2. Step 2: Convert to fraction form
    5,670.25/7,821.95 = 3,369.33/x
  3. Step 3: Cross multiply
    5,670.25x = 7,821.95 × 3,369.33
  4. Step 4: Simplify right side
    5,670.25x = 26,354,780.11
  5. Step 5: Solve for x
    x = 26,354,780.11/5,670.25
  6. Step 6: Final answer
    x = 4,647.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.