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Finding the Fourth Proportional to 4,157.12, 5,736.02 and 2,388.08

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Solution

The fourth proportional to 4,157.12, 5,736.02 and 2,388.08 is: 3,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.12 : 5,736.02 = 2,388.08 : x
  2. Step 2: Convert to fraction form
    4,157.12/5,736.02 = 2,388.08/x
  3. Step 3: Cross multiply
    4,157.12x = 5,736.02 × 2,388.08
  4. Step 4: Simplify right side
    4,157.12x = 13,698,077.04
  5. Step 5: Solve for x
    x = 13,698,077.04/4,157.12
  6. Step 6: Final answer
    x = 3,295.09

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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.