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Finding the Fourth Proportional to 4,791.72, 7,188.72 and 1,504.81

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Solution

The fourth proportional to 4,791.72, 7,188.72 and 1,504.81 is: 2,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.72 : 7,188.72 = 1,504.81 : x
  2. Step 2: Convert to fraction form
    4,791.72/7,188.72 = 1,504.81/x
  3. Step 3: Cross multiply
    4,791.72x = 7,188.72 × 1,504.81
  4. Step 4: Simplify right side
    4,791.72x = 10,817,639.77
  5. Step 5: Solve for x
    x = 10,817,639.77/4,791.72
  6. Step 6: Final answer
    x = 2,257.57

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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.