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Finding the Fourth Proportional to 4,512.36, 6,765.02 and 2,047.08

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Solution

The fourth proportional to 4,512.36, 6,765.02 and 2,047.08 is: 3,069.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.36 : 6,765.02 = 2,047.08 : x
  2. Step 2: Convert to fraction form
    4,512.36/6,765.02 = 2,047.08/x
  3. Step 3: Cross multiply
    4,512.36x = 6,765.02 × 2,047.08
  4. Step 4: Simplify right side
    4,512.36x = 13,848,537.14
  5. Step 5: Solve for x
    x = 13,848,537.14/4,512.36
  6. Step 6: Final answer
    x = 3,069.02

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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.