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Finding the Fourth Proportional to 5,091.42, 7,633.22 and 2,457.57

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Solution

The fourth proportional to 5,091.42, 7,633.22 and 2,457.57 is: 3,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.42 : 7,633.22 = 2,457.57 : x
  2. Step 2: Convert to fraction form
    5,091.42/7,633.22 = 2,457.57/x
  3. Step 3: Cross multiply
    5,091.42x = 7,633.22 × 2,457.57
  4. Step 4: Simplify right side
    5,091.42x = 18,759,160.19
  5. Step 5: Solve for x
    x = 18,759,160.19/5,091.42
  6. Step 6: Final answer
    x = 3,684.47

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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.