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Finding the Fourth Proportional to 3,671.66, 5,481.08 and 3,146

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Solution

The fourth proportional to 3,671.66, 5,481.08 and 3,146 is: 4,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.66 : 5,481.08 = 3,146 : x
  2. Step 2: Convert to fraction form
    3,671.66/5,481.08 = 3,146/x
  3. Step 3: Cross multiply
    3,671.66x = 5,481.08 × 3,146
  4. Step 4: Simplify right side
    3,671.66x = 17,243,477.68
  5. Step 5: Solve for x
    x = 17,243,477.68/3,671.66
  6. Step 6: Final answer
    x = 4,696.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.