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Finding the Fourth Proportional to 5,138.64, 7,705.33 and 1,627.49

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Solution

The fourth proportional to 5,138.64, 7,705.33 and 1,627.49 is: 2,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.64 : 7,705.33 = 1,627.49 : x
  2. Step 2: Convert to fraction form
    5,138.64/7,705.33 = 1,627.49/x
  3. Step 3: Cross multiply
    5,138.64x = 7,705.33 × 1,627.49
  4. Step 4: Simplify right side
    5,138.64x = 12,540,362.72
  5. Step 5: Solve for x
    x = 12,540,362.72/5,138.64
  6. Step 6: Final answer
    x = 2,440.40

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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.