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Finding the Fourth Proportional to 4,977.96, 7,466.28 and 2,785.26

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Solution

The fourth proportional to 4,977.96, 7,466.28 and 2,785.26 is: 4,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.96 : 7,466.28 = 2,785.26 : x
  2. Step 2: Convert to fraction form
    4,977.96/7,466.28 = 2,785.26/x
  3. Step 3: Cross multiply
    4,977.96x = 7,466.28 × 2,785.26
  4. Step 4: Simplify right side
    4,977.96x = 20,795,531.03
  5. Step 5: Solve for x
    x = 20,795,531.03/4,977.96
  6. Step 6: Final answer
    x = 4,177.52

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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.