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Finding the Fourth Proportional to 5,100.60, 7,650.90 and 1,403.22

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Solution

The fourth proportional to 5,100.60, 7,650.90 and 1,403.22 is: 2,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.60 : 7,650.90 = 1,403.22 : x
  2. Step 2: Convert to fraction form
    5,100.60/7,650.90 = 1,403.22/x
  3. Step 3: Cross multiply
    5,100.60x = 7,650.90 × 1,403.22
  4. Step 4: Simplify right side
    5,100.60x = 10,735,895.90
  5. Step 5: Solve for x
    x = 10,735,895.90/5,100.60
  6. Step 6: Final answer
    x = 2,104.83

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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.