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Finding the Fourth Proportional to 3,674.66, 5,506.79 and 2,849.09

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Solution

The fourth proportional to 3,674.66, 5,506.79 and 2,849.09 is: 4,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.66 : 5,506.79 = 2,849.09 : x
  2. Step 2: Convert to fraction form
    3,674.66/5,506.79 = 2,849.09/x
  3. Step 3: Cross multiply
    3,674.66x = 5,506.79 × 2,849.09
  4. Step 4: Simplify right side
    3,674.66x = 15,689,298.54
  5. Step 5: Solve for x
    x = 15,689,298.54/3,674.66
  6. Step 6: Final answer
    x = 4,269.60

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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.