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Finding the Fourth Proportional to 4,636.89, 6,955.71 and 1,863.20

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Solution

The fourth proportional to 4,636.89, 6,955.71 and 1,863.20 is: 2,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.89 : 6,955.71 = 1,863.20 : x
  2. Step 2: Convert to fraction form
    4,636.89/6,955.71 = 1,863.20/x
  3. Step 3: Cross multiply
    4,636.89x = 6,955.71 × 1,863.20
  4. Step 4: Simplify right side
    4,636.89x = 12,959,844.09
  5. Step 5: Solve for x
    x = 12,959,844.09/4,636.89
  6. Step 6: Final answer
    x = 2,794.95

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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.