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Finding the Fourth Proportional to 5,302.44, 7,317.54 and 2,944.50

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Solution

The fourth proportional to 5,302.44, 7,317.54 and 2,944.50 is: 4,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.44 : 7,317.54 = 2,944.50 : x
  2. Step 2: Convert to fraction form
    5,302.44/7,317.54 = 2,944.50/x
  3. Step 3: Cross multiply
    5,302.44x = 7,317.54 × 2,944.50
  4. Step 4: Simplify right side
    5,302.44x = 21,546,496.53
  5. Step 5: Solve for x
    x = 21,546,496.53/5,302.44
  6. Step 6: Final answer
    x = 4,063.51

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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.