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Finding the Fourth Proportional to 3,670.56, 5,065.32 and 2,014.56

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Solution

The fourth proportional to 3,670.56, 5,065.32 and 2,014.56 is: 2,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.56 : 5,065.32 = 2,014.56 : x
  2. Step 2: Convert to fraction form
    3,670.56/5,065.32 = 2,014.56/x
  3. Step 3: Cross multiply
    3,670.56x = 5,065.32 × 2,014.56
  4. Step 4: Simplify right side
    3,670.56x = 10,204,391.06
  5. Step 5: Solve for x
    x = 10,204,391.06/3,670.56
  6. Step 6: Final answer
    x = 2,780.06

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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.