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Finding the Fourth Proportional to 4,184.39, 5,774.01 and 2,321.39

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Solution

The fourth proportional to 4,184.39, 5,774.01 and 2,321.39 is: 3,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.39 : 5,774.01 = 2,321.39 : x
  2. Step 2: Convert to fraction form
    4,184.39/5,774.01 = 2,321.39/x
  3. Step 3: Cross multiply
    4,184.39x = 5,774.01 × 2,321.39
  4. Step 4: Simplify right side
    4,184.39x = 13,403,729.07
  5. Step 5: Solve for x
    x = 13,403,729.07/4,184.39
  6. Step 6: Final answer
    x = 3,203.27

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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.