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Finding the Fourth Proportional to 5,541.17, 7,646.56 and 3,023.17

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Solution

The fourth proportional to 5,541.17, 7,646.56 and 3,023.17 is: 4,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.17 : 7,646.56 = 3,023.17 : x
  2. Step 2: Convert to fraction form
    5,541.17/7,646.56 = 3,023.17/x
  3. Step 3: Cross multiply
    5,541.17x = 7,646.56 × 3,023.17
  4. Step 4: Simplify right side
    5,541.17x = 23,116,824.12
  5. Step 5: Solve for x
    x = 23,116,824.12/5,541.17
  6. Step 6: Final answer
    x = 4,171.83

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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.