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Finding the Fourth Proportional to 4,638.31, 6,959 and 3,084.43

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Solution

The fourth proportional to 4,638.31, 6,959 and 3,084.43 is: 4,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.31 : 6,959 = 3,084.43 : x
  2. Step 2: Convert to fraction form
    4,638.31/6,959 = 3,084.43/x
  3. Step 3: Cross multiply
    4,638.31x = 6,959 × 3,084.43
  4. Step 4: Simplify right side
    4,638.31x = 21,464,513.58
  5. Step 5: Solve for x
    x = 21,464,513.58/4,638.31
  6. Step 6: Final answer
    x = 4,627.66

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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.