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Finding the Fourth Proportional to 3,084.75, 4,627.53 and 1,353.78

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Solution

The fourth proportional to 3,084.75, 4,627.53 and 1,353.78 is: 2,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.75 : 4,627.53 = 1,353.78 : x
  2. Step 2: Convert to fraction form
    3,084.75/4,627.53 = 1,353.78/x
  3. Step 3: Cross multiply
    3,084.75x = 4,627.53 × 1,353.78
  4. Step 4: Simplify right side
    3,084.75x = 6,264,657.56
  5. Step 5: Solve for x
    x = 6,264,657.56/3,084.75
  6. Step 6: Final answer
    x = 2,030.85

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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.