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Finding the Fourth Proportional to 4,175.45, 5,760.81 and 2,406.81

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Solution

The fourth proportional to 4,175.45, 5,760.81 and 2,406.81 is: 3,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.45 : 5,760.81 = 2,406.81 : x
  2. Step 2: Convert to fraction form
    4,175.45/5,760.81 = 2,406.81/x
  3. Step 3: Cross multiply
    4,175.45x = 5,760.81 × 2,406.81
  4. Step 4: Simplify right side
    4,175.45x = 13,865,175.12
  5. Step 5: Solve for x
    x = 13,865,175.12/4,175.45
  6. Step 6: Final answer
    x = 3,320.65

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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.