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Finding the Fourth Proportional to 5,653.34, 7,806.26 and 3,667.28

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Solution

The fourth proportional to 5,653.34, 7,806.26 and 3,667.28 is: 5,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.34 : 7,806.26 = 3,667.28 : x
  2. Step 2: Convert to fraction form
    5,653.34/7,806.26 = 3,667.28/x
  3. Step 3: Cross multiply
    5,653.34x = 7,806.26 × 3,667.28
  4. Step 4: Simplify right side
    5,653.34x = 28,627,741.17
  5. Step 5: Solve for x
    x = 28,627,741.17/5,653.34
  6. Step 6: Final answer
    x = 5,063.86

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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.