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Finding the Fourth Proportional to 5,541.72, 7,643.88 and 4,420.68

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Solution

The fourth proportional to 5,541.72, 7,643.88 and 4,420.68 is: 6,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.72 : 7,643.88 = 4,420.68 : x
  2. Step 2: Convert to fraction form
    5,541.72/7,643.88 = 4,420.68/x
  3. Step 3: Cross multiply
    5,541.72x = 7,643.88 × 4,420.68
  4. Step 4: Simplify right side
    5,541.72x = 33,791,147.44
  5. Step 5: Solve for x
    x = 33,791,147.44/5,541.72
  6. Step 6: Final answer
    x = 6,097.59

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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.