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Finding the Fourth Proportional to 4,175.96, 5,754.72 and 3,114.95

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Solution

The fourth proportional to 4,175.96, 5,754.72 and 3,114.95 is: 4,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.96 : 5,754.72 = 3,114.95 : x
  2. Step 2: Convert to fraction form
    4,175.96/5,754.72 = 3,114.95/x
  3. Step 3: Cross multiply
    4,175.96x = 5,754.72 × 3,114.95
  4. Step 4: Simplify right side
    4,175.96x = 17,925,665.06
  5. Step 5: Solve for x
    x = 17,925,665.06/4,175.96
  6. Step 6: Final answer
    x = 4,292.59

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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.