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Finding the Fourth Proportional to 3,858.70, 5,325.51 and 2,180.65

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Solution

The fourth proportional to 3,858.70, 5,325.51 and 2,180.65 is: 3,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.70 : 5,325.51 = 2,180.65 : x
  2. Step 2: Convert to fraction form
    3,858.70/5,325.51 = 2,180.65/x
  3. Step 3: Cross multiply
    3,858.70x = 5,325.51 × 2,180.65
  4. Step 4: Simplify right side
    3,858.70x = 11,613,073.38
  5. Step 5: Solve for x
    x = 11,613,073.38/3,858.70
  6. Step 6: Final answer
    x = 3,009.58

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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.