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Finding the Fourth Proportional to 4,684.27, 6,468.02 and 2,894.35

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Solution

The fourth proportional to 4,684.27, 6,468.02 and 2,894.35 is: 3,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.27 : 6,468.02 = 2,894.35 : x
  2. Step 2: Convert to fraction form
    4,684.27/6,468.02 = 2,894.35/x
  3. Step 3: Cross multiply
    4,684.27x = 6,468.02 × 2,894.35
  4. Step 4: Simplify right side
    4,684.27x = 18,720,706.03
  5. Step 5: Solve for x
    x = 18,720,706.03/4,684.27
  6. Step 6: Final answer
    x = 3,996.50

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