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Finding the Fourth Proportional to 3,693.10, 5,096.22 and 2,014.50

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Solution

The fourth proportional to 3,693.10, 5,096.22 and 2,014.50 is: 2,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.10 : 5,096.22 = 2,014.50 : x
  2. Step 2: Convert to fraction form
    3,693.10/5,096.22 = 2,014.50/x
  3. Step 3: Cross multiply
    3,693.10x = 5,096.22 × 2,014.50
  4. Step 4: Simplify right side
    3,693.10x = 10,266,335.19
  5. Step 5: Solve for x
    x = 10,266,335.19/3,693.10
  6. Step 6: Final answer
    x = 2,779.87

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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.