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Finding the Fourth Proportional to 5,100.57, 7,650.89 and 1,403.19

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Solution

The fourth proportional to 5,100.57, 7,650.89 and 1,403.19 is: 2,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.57 : 7,650.89 = 1,403.19 : x
  2. Step 2: Convert to fraction form
    5,100.57/7,650.89 = 1,403.19/x
  3. Step 3: Cross multiply
    5,100.57x = 7,650.89 × 1,403.19
  4. Step 4: Simplify right side
    5,100.57x = 10,735,674.97
  5. Step 5: Solve for x
    x = 10,735,674.97/5,100.57
  6. Step 6: Final answer
    x = 2,104.80

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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.