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Finding the Fourth Proportional to 5,137.07, 7,706.75 and 1,850.18

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Solution

The fourth proportional to 5,137.07, 7,706.75 and 1,850.18 is: 2,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.07 : 7,706.75 = 1,850.18 : x
  2. Step 2: Convert to fraction form
    5,137.07/7,706.75 = 1,850.18/x
  3. Step 3: Cross multiply
    5,137.07x = 7,706.75 × 1,850.18
  4. Step 4: Simplify right side
    5,137.07x = 14,258,826.93
  5. Step 5: Solve for x
    x = 14,258,826.93/5,137.07
  6. Step 6: Final answer
    x = 2,775.68

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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.