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Finding the Fourth Proportional to 3,257.56, 4,886.26 and 792.39

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Solution

The fourth proportional to 3,257.56, 4,886.26 and 792.39 is: 1,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.56 : 4,886.26 = 792.39 : x
  2. Step 2: Convert to fraction form
    3,257.56/4,886.26 = 792.39/x
  3. Step 3: Cross multiply
    3,257.56x = 4,886.26 × 792.39
  4. Step 4: Simplify right side
    3,257.56x = 3,871,823.56
  5. Step 5: Solve for x
    x = 3,871,823.56/3,257.56
  6. Step 6: Final answer
    x = 1,188.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.