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Finding the Fourth Proportional to 4,782.92, 7,170.04 and 1,704.20

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Solution

The fourth proportional to 4,782.92, 7,170.04 and 1,704.20 is: 2,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.92 : 7,170.04 = 1,704.20 : x
  2. Step 2: Convert to fraction form
    4,782.92/7,170.04 = 1,704.20/x
  3. Step 3: Cross multiply
    4,782.92x = 7,170.04 × 1,704.20
  4. Step 4: Simplify right side
    4,782.92x = 12,219,182.17
  5. Step 5: Solve for x
    x = 12,219,182.17/4,782.92
  6. Step 6: Final answer
    x = 2,554.75

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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.