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Finding the Fourth Proportional to 3,178.05, 4,761.87 and 3,056.55

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Solution

The fourth proportional to 3,178.05, 4,761.87 and 3,056.55 is: 4,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.05 : 4,761.87 = 3,056.55 : x
  2. Step 2: Convert to fraction form
    3,178.05/4,761.87 = 3,056.55/x
  3. Step 3: Cross multiply
    3,178.05x = 4,761.87 × 3,056.55
  4. Step 4: Simplify right side
    3,178.05x = 14,554,893.75
  5. Step 5: Solve for x
    x = 14,554,893.75/3,178.05
  6. Step 6: Final answer
    x = 4,579.82

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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.