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Finding the Fourth Proportional to 3,478.46, 5,214.04 and 1,285.79

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Solution

The fourth proportional to 3,478.46, 5,214.04 and 1,285.79 is: 1,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.46 : 5,214.04 = 1,285.79 : x
  2. Step 2: Convert to fraction form
    3,478.46/5,214.04 = 1,285.79/x
  3. Step 3: Cross multiply
    3,478.46x = 5,214.04 × 1,285.79
  4. Step 4: Simplify right side
    3,478.46x = 6,704,160.49
  5. Step 5: Solve for x
    x = 6,704,160.49/3,478.46
  6. Step 6: Final answer
    x = 1,927.34

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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.