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Finding the Fourth Proportional to 3,257.47, 4,885.23 and 1,408.15

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Solution

The fourth proportional to 3,257.47, 4,885.23 and 1,408.15 is: 2,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.47 : 4,885.23 = 1,408.15 : x
  2. Step 2: Convert to fraction form
    3,257.47/4,885.23 = 1,408.15/x
  3. Step 3: Cross multiply
    3,257.47x = 4,885.23 × 1,408.15
  4. Step 4: Simplify right side
    3,257.47x = 6,879,136.62
  5. Step 5: Solve for x
    x = 6,879,136.62/3,257.47
  6. Step 6: Final answer
    x = 2,111.80

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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.