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Finding the Fourth Proportional to 3,546.64, 4,893.04 and 3,541.17

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Solution

The fourth proportional to 3,546.64, 4,893.04 and 3,541.17 is: 4,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.64 : 4,893.04 = 3,541.17 : x
  2. Step 2: Convert to fraction form
    3,546.64/4,893.04 = 3,541.17/x
  3. Step 3: Cross multiply
    3,546.64x = 4,893.04 × 3,541.17
  4. Step 4: Simplify right side
    3,546.64x = 17,327,086.46
  5. Step 5: Solve for x
    x = 17,327,086.46/3,546.64
  6. Step 6: Final answer
    x = 4,885.49

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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.