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Finding the Fourth Proportional to 4,704.75, 6,492.57 and 2,816.43

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Solution

The fourth proportional to 4,704.75, 6,492.57 and 2,816.43 is: 3,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.75 : 6,492.57 = 2,816.43 : x
  2. Step 2: Convert to fraction form
    4,704.75/6,492.57 = 2,816.43/x
  3. Step 3: Cross multiply
    4,704.75x = 6,492.57 × 2,816.43
  4. Step 4: Simplify right side
    4,704.75x = 18,285,868.93
  5. Step 5: Solve for x
    x = 18,285,868.93/4,704.75
  6. Step 6: Final answer
    x = 3,886.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.