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Finding the Fourth Proportional to 4,176.80, 6,250.56 and 3,302

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Solution

The fourth proportional to 4,176.80, 6,250.56 and 3,302 is: 4,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.80 : 6,250.56 = 3,302 : x
  2. Step 2: Convert to fraction form
    4,176.80/6,250.56 = 3,302/x
  3. Step 3: Cross multiply
    4,176.80x = 6,250.56 × 3,302
  4. Step 4: Simplify right side
    4,176.80x = 20,639,349.12
  5. Step 5: Solve for x
    x = 20,639,349.12/4,176.80
  6. Step 6: Final answer
    x = 4,941.43

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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.