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Finding the Fourth Proportional to 4,324.12, 6,484.56 and 2,014

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Solution

The fourth proportional to 4,324.12, 6,484.56 and 2,014 is: 3,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.12 : 6,484.56 = 2,014 : x
  2. Step 2: Convert to fraction form
    4,324.12/6,484.56 = 2,014/x
  3. Step 3: Cross multiply
    4,324.12x = 6,484.56 × 2,014
  4. Step 4: Simplify right side
    4,324.12x = 13,059,903.84
  5. Step 5: Solve for x
    x = 13,059,903.84/4,324.12
  6. Step 6: Final answer
    x = 3,020.25

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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.