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Finding the Fourth Proportional to 3,542.63, 4,889.30 and 2,050.28

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Solution

The fourth proportional to 3,542.63, 4,889.30 and 2,050.28 is: 2,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.63 : 4,889.30 = 2,050.28 : x
  2. Step 2: Convert to fraction form
    3,542.63/4,889.30 = 2,050.28/x
  3. Step 3: Cross multiply
    3,542.63x = 4,889.30 × 2,050.28
  4. Step 4: Simplify right side
    3,542.63x = 10,024,399.31
  5. Step 5: Solve for x
    x = 10,024,399.31/3,542.63
  6. Step 6: Final answer
    x = 2,829.65

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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.