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Finding the Fourth Proportional to 4,145.51, 5,720.74 and 2,282.51

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Solution

The fourth proportional to 4,145.51, 5,720.74 and 2,282.51 is: 3,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.51 : 5,720.74 = 2,282.51 : x
  2. Step 2: Convert to fraction form
    4,145.51/5,720.74 = 2,282.51/x
  3. Step 3: Cross multiply
    4,145.51x = 5,720.74 × 2,282.51
  4. Step 4: Simplify right side
    4,145.51x = 13,057,611.95
  5. Step 5: Solve for x
    x = 13,057,611.95/4,145.51
  6. Step 6: Final answer
    x = 3,149.82

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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.