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Finding the Fourth Proportional to 3,084.88, 4,627.77 and 1,004.18

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Solution

The fourth proportional to 3,084.88, 4,627.77 and 1,004.18 is: 1,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.88 : 4,627.77 = 1,004.18 : x
  2. Step 2: Convert to fraction form
    3,084.88/4,627.77 = 1,004.18/x
  3. Step 3: Cross multiply
    3,084.88x = 4,627.77 × 1,004.18
  4. Step 4: Simplify right side
    3,084.88x = 4,647,114.08
  5. Step 5: Solve for x
    x = 4,647,114.08/3,084.88
  6. Step 6: Final answer
    x = 1,506.42

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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.