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Finding the Fourth Proportional to 3,775.56, 5,210.43 and 2,283.21

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Solution

The fourth proportional to 3,775.56, 5,210.43 and 2,283.21 is: 3,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.56 : 5,210.43 = 2,283.21 : x
  2. Step 2: Convert to fraction form
    3,775.56/5,210.43 = 2,283.21/x
  3. Step 3: Cross multiply
    3,775.56x = 5,210.43 × 2,283.21
  4. Step 4: Simplify right side
    3,775.56x = 11,896,505.88
  5. Step 5: Solve for x
    x = 11,896,505.88/3,775.56
  6. Step 6: Final answer
    x = 3,150.92

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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.