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Finding the Fourth Proportional to 5,446.73, 7,516.35 and 3,178.49

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Solution

The fourth proportional to 5,446.73, 7,516.35 and 3,178.49 is: 4,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.73 : 7,516.35 = 3,178.49 : x
  2. Step 2: Convert to fraction form
    5,446.73/7,516.35 = 3,178.49/x
  3. Step 3: Cross multiply
    5,446.73x = 7,516.35 × 3,178.49
  4. Step 4: Simplify right side
    5,446.73x = 23,890,643.31
  5. Step 5: Solve for x
    x = 23,890,643.31/5,446.73
  6. Step 6: Final answer
    x = 4,386.24

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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.