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Finding the Fourth Proportional to 4,323.72, 6,473.46 and 2,342.25

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Solution

The fourth proportional to 4,323.72, 6,473.46 and 2,342.25 is: 3,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.72 : 6,473.46 = 2,342.25 : x
  2. Step 2: Convert to fraction form
    4,323.72/6,473.46 = 2,342.25/x
  3. Step 3: Cross multiply
    4,323.72x = 6,473.46 × 2,342.25
  4. Step 4: Simplify right side
    4,323.72x = 15,162,461.69
  5. Step 5: Solve for x
    x = 15,162,461.69/4,323.72
  6. Step 6: Final answer
    x = 3,506.81

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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.