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Finding the Fourth Proportional to 3,295.50, 4,942.71 and 2,318.64

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Solution

The fourth proportional to 3,295.50, 4,942.71 and 2,318.64 is: 3,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.50 : 4,942.71 = 2,318.64 : x
  2. Step 2: Convert to fraction form
    3,295.50/4,942.71 = 2,318.64/x
  3. Step 3: Cross multiply
    3,295.50x = 4,942.71 × 2,318.64
  4. Step 4: Simplify right side
    3,295.50x = 11,460,365.11
  5. Step 5: Solve for x
    x = 11,460,365.11/3,295.50
  6. Step 6: Final answer
    x = 3,477.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.