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Finding the Fourth Proportional to 5,407.40, 8,099.76 and 2,802.44

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Solution

The fourth proportional to 5,407.40, 8,099.76 and 2,802.44 is: 4,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.40 : 8,099.76 = 2,802.44 : x
  2. Step 2: Convert to fraction form
    5,407.40/8,099.76 = 2,802.44/x
  3. Step 3: Cross multiply
    5,407.40x = 8,099.76 × 2,802.44
  4. Step 4: Simplify right side
    5,407.40x = 22,699,091.41
  5. Step 5: Solve for x
    x = 22,699,091.41/5,407.40
  6. Step 6: Final answer
    x = 4,197.78

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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.