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Finding the Fourth Proportional to 4,286.76, 6,423.52 and 2,894.64

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Solution

The fourth proportional to 4,286.76, 6,423.52 and 2,894.64 is: 4,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.76 : 6,423.52 = 2,894.64 : x
  2. Step 2: Convert to fraction form
    4,286.76/6,423.52 = 2,894.64/x
  3. Step 3: Cross multiply
    4,286.76x = 6,423.52 × 2,894.64
  4. Step 4: Simplify right side
    4,286.76x = 18,593,731.34
  5. Step 5: Solve for x
    x = 18,593,731.34/4,286.76
  6. Step 6: Final answer
    x = 4,337.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.