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Finding the Fourth Proportional to 4,185.69, 5,776.26 and 2,322.69

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Solution

The fourth proportional to 4,185.69, 5,776.26 and 2,322.69 is: 3,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.69 : 5,776.26 = 2,322.69 : x
  2. Step 2: Convert to fraction form
    4,185.69/5,776.26 = 2,322.69/x
  3. Step 3: Cross multiply
    4,185.69x = 5,776.26 × 2,322.69
  4. Step 4: Simplify right side
    4,185.69x = 13,416,461.34
  5. Step 5: Solve for x
    x = 13,416,461.34/4,185.69
  6. Step 6: Final answer
    x = 3,205.32

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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.