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Finding the Fourth Proportional to 3,757, 5,184.68 and 2,101

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Solution

The fourth proportional to 3,757, 5,184.68 and 2,101 is: 2,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757 : 5,184.68 = 2,101 : x
  2. Step 2: Convert to fraction form
    3,757/5,184.68 = 2,101/x
  3. Step 3: Cross multiply
    3,757x = 5,184.68 × 2,101
  4. Step 4: Simplify right side
    3,757x = 10,893,012.68
  5. Step 5: Solve for x
    x = 10,893,012.68/3,757
  6. Step 6: Final answer
    x = 2,899.39

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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.