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Finding the Fourth Proportional to 5,072.94, 7,610.62 and 1,610.19

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Solution

The fourth proportional to 5,072.94, 7,610.62 and 1,610.19 is: 2,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.94 : 7,610.62 = 1,610.19 : x
  2. Step 2: Convert to fraction form
    5,072.94/7,610.62 = 1,610.19/x
  3. Step 3: Cross multiply
    5,072.94x = 7,610.62 × 1,610.19
  4. Step 4: Simplify right side
    5,072.94x = 12,254,544.22
  5. Step 5: Solve for x
    x = 12,254,544.22/5,072.94
  6. Step 6: Final answer
    x = 2,415.67

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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.