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Finding the Fourth Proportional to 4,175.53, 5,760.80 and 2,381.72

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Solution

The fourth proportional to 4,175.53, 5,760.80 and 2,381.72 is: 3,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.53 : 5,760.80 = 2,381.72 : x
  2. Step 2: Convert to fraction form
    4,175.53/5,760.80 = 2,381.72/x
  3. Step 3: Cross multiply
    4,175.53x = 5,760.80 × 2,381.72
  4. Step 4: Simplify right side
    4,175.53x = 13,720,612.58
  5. Step 5: Solve for x
    x = 13,720,612.58/4,175.53
  6. Step 6: Final answer
    x = 3,285.96

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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.