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Finding the Fourth Proportional to 5,047.06, 7,570.62 and 1,760.14

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Solution

The fourth proportional to 5,047.06, 7,570.62 and 1,760.14 is: 2,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.06 : 7,570.62 = 1,760.14 : x
  2. Step 2: Convert to fraction form
    5,047.06/7,570.62 = 1,760.14/x
  3. Step 3: Cross multiply
    5,047.06x = 7,570.62 × 1,760.14
  4. Step 4: Simplify right side
    5,047.06x = 13,325,351.09
  5. Step 5: Solve for x
    x = 13,325,351.09/5,047.06
  6. Step 6: Final answer
    x = 2,640.22

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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.