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Finding the Fourth Proportional to 4,742.49, 6,546.48 and 4,244.26

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Solution

The fourth proportional to 4,742.49, 6,546.48 and 4,244.26 is: 5,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.49 : 6,546.48 = 4,244.26 : x
  2. Step 2: Convert to fraction form
    4,742.49/6,546.48 = 4,244.26/x
  3. Step 3: Cross multiply
    4,742.49x = 6,546.48 × 4,244.26
  4. Step 4: Simplify right side
    4,742.49x = 27,784,955.39
  5. Step 5: Solve for x
    x = 27,784,955.39/4,742.49
  6. Step 6: Final answer
    x = 5,858.73

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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.