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Finding the Fourth Proportional to 5,137.27, 7,705.88 and 1,850.34

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Solution

The fourth proportional to 5,137.27, 7,705.88 and 1,850.34 is: 2,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.27 : 7,705.88 = 1,850.34 : x
  2. Step 2: Convert to fraction form
    5,137.27/7,705.88 = 1,850.34/x
  3. Step 3: Cross multiply
    5,137.27x = 7,705.88 × 1,850.34
  4. Step 4: Simplify right side
    5,137.27x = 14,258,534.99
  5. Step 5: Solve for x
    x = 14,258,534.99/5,137.27
  6. Step 6: Final answer
    x = 2,775.51

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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.