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Finding the Fourth Proportional to 3,805.40, 5,245.18 and 2,546.01

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Solution

The fourth proportional to 3,805.40, 5,245.18 and 2,546.01 is: 3,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.40 : 5,245.18 = 2,546.01 : x
  2. Step 2: Convert to fraction form
    3,805.40/5,245.18 = 2,546.01/x
  3. Step 3: Cross multiply
    3,805.40x = 5,245.18 × 2,546.01
  4. Step 4: Simplify right side
    3,805.40x = 13,354,274.37
  5. Step 5: Solve for x
    x = 13,354,274.37/3,805.40
  6. Step 6: Final answer
    x = 3,509.29

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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.