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Finding the Fourth Proportional to 5,420.64, 7,476.56 and 4,147.44

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Solution

The fourth proportional to 5,420.64, 7,476.56 and 4,147.44 is: 5,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.64 : 7,476.56 = 4,147.44 : x
  2. Step 2: Convert to fraction form
    5,420.64/7,476.56 = 4,147.44/x
  3. Step 3: Cross multiply
    5,420.64x = 7,476.56 × 4,147.44
  4. Step 4: Simplify right side
    5,420.64x = 31,008,584.01
  5. Step 5: Solve for x
    x = 31,008,584.01/5,420.64
  6. Step 6: Final answer
    x = 5,720.47

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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.