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Finding the Fourth Proportional to 4,683.06, 7,022.23 and 1,561.96

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Solution

The fourth proportional to 4,683.06, 7,022.23 and 1,561.96 is: 2,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.06 : 7,022.23 = 1,561.96 : x
  2. Step 2: Convert to fraction form
    4,683.06/7,022.23 = 1,561.96/x
  3. Step 3: Cross multiply
    4,683.06x = 7,022.23 × 1,561.96
  4. Step 4: Simplify right side
    4,683.06x = 10,968,447.24
  5. Step 5: Solve for x
    x = 10,968,447.24/4,683.06
  6. Step 6: Final answer
    x = 2,342.15

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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.