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Finding the Fourth Proportional to 3,693.11, 5,096.51 and 2,014.56

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Solution

The fourth proportional to 3,693.11, 5,096.51 and 2,014.56 is: 2,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.11 : 5,096.51 = 2,014.56 : x
  2. Step 2: Convert to fraction form
    3,693.11/5,096.51 = 2,014.56/x
  3. Step 3: Cross multiply
    3,693.11x = 5,096.51 × 2,014.56
  4. Step 4: Simplify right side
    3,693.11x = 10,267,210.42
  5. Step 5: Solve for x
    x = 10,267,210.42/3,693.11
  6. Step 6: Final answer
    x = 2,780.10

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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.