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Finding the Fourth Proportional to 6,084.39, 8,394.50 and 4,804.21

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Solution

The fourth proportional to 6,084.39, 8,394.50 and 4,804.21 is: 6,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.39 : 8,394.50 = 4,804.21 : x
  2. Step 2: Convert to fraction form
    6,084.39/8,394.50 = 4,804.21/x
  3. Step 3: Cross multiply
    6,084.39x = 8,394.50 × 4,804.21
  4. Step 4: Simplify right side
    6,084.39x = 40,328,874.85
  5. Step 5: Solve for x
    x = 40,328,874.85/6,084.39
  6. Step 6: Final answer
    x = 6,628.25

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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.