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Finding the Fourth Proportional to 3,955.84, 5,461.12 and 3,694.08

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Solution

The fourth proportional to 3,955.84, 5,461.12 and 3,694.08 is: 5,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.84 : 5,461.12 = 3,694.08 : x
  2. Step 2: Convert to fraction form
    3,955.84/5,461.12 = 3,694.08/x
  3. Step 3: Cross multiply
    3,955.84x = 5,461.12 × 3,694.08
  4. Step 4: Simplify right side
    3,955.84x = 20,173,814.17
  5. Step 5: Solve for x
    x = 20,173,814.17/3,955.84
  6. Step 6: Final answer
    x = 5,099.75

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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.