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Finding the Fourth Proportional to 5,336.14, 7,364.16 and 2,978.26

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Solution

The fourth proportional to 5,336.14, 7,364.16 and 2,978.26 is: 4,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.14 : 7,364.16 = 2,978.26 : x
  2. Step 2: Convert to fraction form
    5,336.14/7,364.16 = 2,978.26/x
  3. Step 3: Cross multiply
    5,336.14x = 7,364.16 × 2,978.26
  4. Step 4: Simplify right side
    5,336.14x = 21,932,383.16
  5. Step 5: Solve for x
    x = 21,932,383.16/5,336.14
  6. Step 6: Final answer
    x = 4,110.16

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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.