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Finding the Fourth Proportional to 4,667.72, 6,436.50 and 4,197.56

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Solution

The fourth proportional to 4,667.72, 6,436.50 and 4,197.56 is: 5,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.72 : 6,436.50 = 4,197.56 : x
  2. Step 2: Convert to fraction form
    4,667.72/6,436.50 = 4,197.56/x
  3. Step 3: Cross multiply
    4,667.72x = 6,436.50 × 4,197.56
  4. Step 4: Simplify right side
    4,667.72x = 27,017,594.94
  5. Step 5: Solve for x
    x = 27,017,594.94/4,667.72
  6. Step 6: Final answer
    x = 5,788.18

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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.