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Finding the Fourth Proportional to 5,056.97, 6,977.16 and 3,265.25

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Solution

The fourth proportional to 5,056.97, 6,977.16 and 3,265.25 is: 4,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.97 : 6,977.16 = 3,265.25 : x
  2. Step 2: Convert to fraction form
    5,056.97/6,977.16 = 3,265.25/x
  3. Step 3: Cross multiply
    5,056.97x = 6,977.16 × 3,265.25
  4. Step 4: Simplify right side
    5,056.97x = 22,782,171.69
  5. Step 5: Solve for x
    x = 22,782,171.69/5,056.97
  6. Step 6: Final answer
    x = 4,505.10

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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.