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Finding the Fourth Proportional to 4,857.85, 6,700.28 and 3,176.56

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Solution

The fourth proportional to 4,857.85, 6,700.28 and 3,176.56 is: 4,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.85 : 6,700.28 = 3,176.56 : x
  2. Step 2: Convert to fraction form
    4,857.85/6,700.28 = 3,176.56/x
  3. Step 3: Cross multiply
    4,857.85x = 6,700.28 × 3,176.56
  4. Step 4: Simplify right side
    4,857.85x = 21,283,841.44
  5. Step 5: Solve for x
    x = 21,283,841.44/4,857.85
  6. Step 6: Final answer
    x = 4,381.33

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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.