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Finding the Fourth Proportional to 3,257.24, 4,885.80 and 792.08

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Solution

The fourth proportional to 3,257.24, 4,885.80 and 792.08 is: 1,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.24 : 4,885.80 = 792.08 : x
  2. Step 2: Convert to fraction form
    3,257.24/4,885.80 = 792.08/x
  3. Step 3: Cross multiply
    3,257.24x = 4,885.80 × 792.08
  4. Step 4: Simplify right side
    3,257.24x = 3,869,916.07
  5. Step 5: Solve for x
    x = 3,869,916.07/3,257.24
  6. Step 6: Final answer
    x = 1,188.10

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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.