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Finding the Fourth Proportional to 3,333, 4,996.77 and 1,386.60

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Solution

The fourth proportional to 3,333, 4,996.77 and 1,386.60 is: 2,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333 : 4,996.77 = 1,386.60 : x
  2. Step 2: Convert to fraction form
    3,333/4,996.77 = 1,386.60/x
  3. Step 3: Cross multiply
    3,333x = 4,996.77 × 1,386.60
  4. Step 4: Simplify right side
    3,333x = 6,928,521.28
  5. Step 5: Solve for x
    x = 6,928,521.28/3,333
  6. Step 6: Final answer
    x = 2,078.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.