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Finding the Fourth Proportional to 3,084.76, 4,627.14 and 1,353.25

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Solution

The fourth proportional to 3,084.76, 4,627.14 and 1,353.25 is: 2,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.76 : 4,627.14 = 1,353.25 : x
  2. Step 2: Convert to fraction form
    3,084.76/4,627.14 = 1,353.25/x
  3. Step 3: Cross multiply
    3,084.76x = 4,627.14 × 1,353.25
  4. Step 4: Simplify right side
    3,084.76x = 6,261,677.21
  5. Step 5: Solve for x
    x = 6,261,677.21/3,084.76
  6. Step 6: Final answer
    x = 2,029.88

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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.