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Finding the Fourth Proportional to 5,099.96, 7,038.17 and 2,975.15

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Solution

The fourth proportional to 5,099.96, 7,038.17 and 2,975.15 is: 4,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.96 : 7,038.17 = 2,975.15 : x
  2. Step 2: Convert to fraction form
    5,099.96/7,038.17 = 2,975.15/x
  3. Step 3: Cross multiply
    5,099.96x = 7,038.17 × 2,975.15
  4. Step 4: Simplify right side
    5,099.96x = 20,939,583.72
  5. Step 5: Solve for x
    x = 20,939,583.72/5,099.96
  6. Step 6: Final answer
    x = 4,105.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.