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Finding the Fourth Proportional to 4,340.42, 6,506.52 and 3,942.65

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Solution

The fourth proportional to 4,340.42, 6,506.52 and 3,942.65 is: 5,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.42 : 6,506.52 = 3,942.65 : x
  2. Step 2: Convert to fraction form
    4,340.42/6,506.52 = 3,942.65/x
  3. Step 3: Cross multiply
    4,340.42x = 6,506.52 × 3,942.65
  4. Step 4: Simplify right side
    4,340.42x = 25,652,947.34
  5. Step 5: Solve for x
    x = 25,652,947.34/4,340.42
  6. Step 6: Final answer
    x = 5,910.25

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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.