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Finding the Fourth Proportional to 4,755.42, 7,138.98 and 3,084.08

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Solution

The fourth proportional to 4,755.42, 7,138.98 and 3,084.08 is: 4,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.42 : 7,138.98 = 3,084.08 : x
  2. Step 2: Convert to fraction form
    4,755.42/7,138.98 = 3,084.08/x
  3. Step 3: Cross multiply
    4,755.42x = 7,138.98 × 3,084.08
  4. Step 4: Simplify right side
    4,755.42x = 22,017,149.74
  5. Step 5: Solve for x
    x = 22,017,149.74/4,755.42
  6. Step 6: Final answer
    x = 4,629.91

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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.