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Finding the Fourth Proportional to 4,768.14, 6,580.02 and 2,672.28

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Solution

The fourth proportional to 4,768.14, 6,580.02 and 2,672.28 is: 3,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.14 : 6,580.02 = 2,672.28 : x
  2. Step 2: Convert to fraction form
    4,768.14/6,580.02 = 2,672.28/x
  3. Step 3: Cross multiply
    4,768.14x = 6,580.02 × 2,672.28
  4. Step 4: Simplify right side
    4,768.14x = 17,583,655.85
  5. Step 5: Solve for x
    x = 17,583,655.85/4,768.14
  6. Step 6: Final answer
    x = 3,687.74

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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.