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Finding the Fourth Proportional to 4,782.25, 7,173.65 and 1,704.25

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Solution

The fourth proportional to 4,782.25, 7,173.65 and 1,704.25 is: 2,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.25 : 7,173.65 = 1,704.25 : x
  2. Step 2: Convert to fraction form
    4,782.25/7,173.65 = 1,704.25/x
  3. Step 3: Cross multiply
    4,782.25x = 7,173.65 × 1,704.25
  4. Step 4: Simplify right side
    4,782.25x = 12,225,684.49
  5. Step 5: Solve for x
    x = 12,225,684.49/4,782.25
  6. Step 6: Final answer
    x = 2,556.47

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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.