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Finding the Fourth Proportional to 4,184.56, 5,774.99 and 2,392.31

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Solution

The fourth proportional to 4,184.56, 5,774.99 and 2,392.31 is: 3,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.56 : 5,774.99 = 2,392.31 : x
  2. Step 2: Convert to fraction form
    4,184.56/5,774.99 = 2,392.31/x
  3. Step 3: Cross multiply
    4,184.56x = 5,774.99 × 2,392.31
  4. Step 4: Simplify right side
    4,184.56x = 13,815,525.49
  5. Step 5: Solve for x
    x = 13,815,525.49/4,184.56
  6. Step 6: Final answer
    x = 3,301.55

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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.