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Finding the Fourth Proportional to 4,488.54, 6,735.69 and 2,178.78

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Solution

The fourth proportional to 4,488.54, 6,735.69 and 2,178.78 is: 3,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.54 : 6,735.69 = 2,178.78 : x
  2. Step 2: Convert to fraction form
    4,488.54/6,735.69 = 2,178.78/x
  3. Step 3: Cross multiply
    4,488.54x = 6,735.69 × 2,178.78
  4. Step 4: Simplify right side
    4,488.54x = 14,675,586.66
  5. Step 5: Solve for x
    x = 14,675,586.66/4,488.54
  6. Step 6: Final answer
    x = 3,269.57

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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.