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Finding the Fourth Proportional to 4,257.84, 6,385.44 and 1,916.48

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Solution

The fourth proportional to 4,257.84, 6,385.44 and 1,916.48 is: 2,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.84 : 6,385.44 = 1,916.48 : x
  2. Step 2: Convert to fraction form
    4,257.84/6,385.44 = 1,916.48/x
  3. Step 3: Cross multiply
    4,257.84x = 6,385.44 × 1,916.48
  4. Step 4: Simplify right side
    4,257.84x = 12,237,568.05
  5. Step 5: Solve for x
    x = 12,237,568.05/4,257.84
  6. Step 6: Final answer
    x = 2,874.13

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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.