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Finding the Fourth Proportional to 4,704.72, 7,055.64 and 1,626

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Solution

The fourth proportional to 4,704.72, 7,055.64 and 1,626 is: 2,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.72 : 7,055.64 = 1,626 : x
  2. Step 2: Convert to fraction form
    4,704.72/7,055.64 = 1,626/x
  3. Step 3: Cross multiply
    4,704.72x = 7,055.64 × 1,626
  4. Step 4: Simplify right side
    4,704.72x = 11,472,470.64
  5. Step 5: Solve for x
    x = 11,472,470.64/4,704.72
  6. Step 6: Final answer
    x = 2,438.50

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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.