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Finding the Fourth Proportional to 3,278.14, 4,916.05 and 1,056.89

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Solution

The fourth proportional to 3,278.14, 4,916.05 and 1,056.89 is: 1,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.14 : 4,916.05 = 1,056.89 : x
  2. Step 2: Convert to fraction form
    3,278.14/4,916.05 = 1,056.89/x
  3. Step 3: Cross multiply
    3,278.14x = 4,916.05 × 1,056.89
  4. Step 4: Simplify right side
    3,278.14x = 5,195,724.08
  5. Step 5: Solve for x
    x = 5,195,724.08/3,278.14
  6. Step 6: Final answer
    x = 1,584.96

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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.