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Finding the Fourth Proportional to 3,316, 4,576.06 and 1,824

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Solution

The fourth proportional to 3,316, 4,576.06 and 1,824 is: 2,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316 : 4,576.06 = 1,824 : x
  2. Step 2: Convert to fraction form
    3,316/4,576.06 = 1,824/x
  3. Step 3: Cross multiply
    3,316x = 4,576.06 × 1,824
  4. Step 4: Simplify right side
    3,316x = 8,346,733.44
  5. Step 5: Solve for x
    x = 8,346,733.44/3,316
  6. Step 6: Final answer
    x = 2,517.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.