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Finding the Fourth Proportional to 4,609.57, 6,369.55 and 3,280.97

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Solution

The fourth proportional to 4,609.57, 6,369.55 and 3,280.97 is: 4,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.57 : 6,369.55 = 3,280.97 : x
  2. Step 2: Convert to fraction form
    4,609.57/6,369.55 = 3,280.97/x
  3. Step 3: Cross multiply
    4,609.57x = 6,369.55 × 3,280.97
  4. Step 4: Simplify right side
    4,609.57x = 20,898,302.46
  5. Step 5: Solve for x
    x = 20,898,302.46/4,609.57
  6. Step 6: Final answer
    x = 4,533.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.