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Finding the Fourth Proportional to 4,145.06, 5,720.20 and 2,282.06

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Solution

The fourth proportional to 4,145.06, 5,720.20 and 2,282.06 is: 3,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.06 : 5,720.20 = 2,282.06 : x
  2. Step 2: Convert to fraction form
    4,145.06/5,720.20 = 2,282.06/x
  3. Step 3: Cross multiply
    4,145.06x = 5,720.20 × 2,282.06
  4. Step 4: Simplify right side
    4,145.06x = 13,053,848.21
  5. Step 5: Solve for x
    x = 13,053,848.21/4,145.06
  6. Step 6: Final answer
    x = 3,149.25

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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.