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Finding the Fourth Proportional to 5,701.97, 7,867.44 and 3,464.53

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Solution

The fourth proportional to 5,701.97, 7,867.44 and 3,464.53 is: 4,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.97 : 7,867.44 = 3,464.53 : x
  2. Step 2: Convert to fraction form
    5,701.97/7,867.44 = 3,464.53/x
  3. Step 3: Cross multiply
    5,701.97x = 7,867.44 × 3,464.53
  4. Step 4: Simplify right side
    5,701.97x = 27,256,962.23
  5. Step 5: Solve for x
    x = 27,256,962.23/5,701.97
  6. Step 6: Final answer
    x = 4,780.27

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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.