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Finding the Fourth Proportional to 4,184.54, 5,774.92 and 2,321.54

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Solution

The fourth proportional to 4,184.54, 5,774.92 and 2,321.54 is: 3,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.54 : 5,774.92 = 2,321.54 : x
  2. Step 2: Convert to fraction form
    4,184.54/5,774.92 = 2,321.54/x
  3. Step 3: Cross multiply
    4,184.54x = 5,774.92 × 2,321.54
  4. Step 4: Simplify right side
    4,184.54x = 13,406,673.10
  5. Step 5: Solve for x
    x = 13,406,673.10/4,184.54
  6. Step 6: Final answer
    x = 3,203.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.