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Finding the Fourth Proportional to 3,693.08, 5,096.32 and 2,014.46

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Solution

The fourth proportional to 3,693.08, 5,096.32 and 2,014.46 is: 2,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.08 : 5,096.32 = 2,014.46 : x
  2. Step 2: Convert to fraction form
    3,693.08/5,096.32 = 2,014.46/x
  3. Step 3: Cross multiply
    3,693.08x = 5,096.32 × 2,014.46
  4. Step 4: Simplify right side
    3,693.08x = 10,266,332.79
  5. Step 5: Solve for x
    x = 10,266,332.79/3,693.08
  6. Step 6: Final answer
    x = 2,779.88

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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.