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Finding the Fourth Proportional to 5,477.56, 8,215.53 and 2,014

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Solution

The fourth proportional to 5,477.56, 8,215.53 and 2,014 is: 3,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.56 : 8,215.53 = 2,014 : x
  2. Step 2: Convert to fraction form
    5,477.56/8,215.53 = 2,014/x
  3. Step 3: Cross multiply
    5,477.56x = 8,215.53 × 2,014
  4. Step 4: Simplify right side
    5,477.56x = 16,546,077.42
  5. Step 5: Solve for x
    x = 16,546,077.42/5,477.56
  6. Step 6: Final answer
    x = 3,020.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.