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Finding the Fourth Proportional to 4,772.19, 6,584.27 and 3,093.67

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Solution

The fourth proportional to 4,772.19, 6,584.27 and 3,093.67 is: 4,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.19 : 6,584.27 = 3,093.67 : x
  2. Step 2: Convert to fraction form
    4,772.19/6,584.27 = 3,093.67/x
  3. Step 3: Cross multiply
    4,772.19x = 6,584.27 × 3,093.67
  4. Step 4: Simplify right side
    4,772.19x = 20,369,549.84
  5. Step 5: Solve for x
    x = 20,369,549.84/4,772.19
  6. Step 6: Final answer
    x = 4,268.39

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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.