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Finding the Fourth Proportional to 3,447, 5,165.84 and 1,884.65

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Solution

The fourth proportional to 3,447, 5,165.84 and 1,884.65 is: 2,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447 : 5,165.84 = 1,884.65 : x
  2. Step 2: Convert to fraction form
    3,447/5,165.84 = 1,884.65/x
  3. Step 3: Cross multiply
    3,447x = 5,165.84 × 1,884.65
  4. Step 4: Simplify right side
    3,447x = 9,735,779.24
  5. Step 5: Solve for x
    x = 9,735,779.24/3,447
  6. Step 6: Final answer
    x = 2,824.42

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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.