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Finding the Fourth Proportional to 5,302.16, 7,317.22 and 2,944.31

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Solution

The fourth proportional to 5,302.16, 7,317.22 and 2,944.31 is: 4,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.16 : 7,317.22 = 2,944.31 : x
  2. Step 2: Convert to fraction form
    5,302.16/7,317.22 = 2,944.31/x
  3. Step 3: Cross multiply
    5,302.16x = 7,317.22 × 2,944.31
  4. Step 4: Simplify right side
    5,302.16x = 21,544,120.07
  5. Step 5: Solve for x
    x = 21,544,120.07/5,302.16
  6. Step 6: Final answer
    x = 4,063.28

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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.