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Finding the Fourth Proportional to 3,542.86, 4,889.74 and 2,050.52

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Solution

The fourth proportional to 3,542.86, 4,889.74 and 2,050.52 is: 2,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.86 : 4,889.74 = 2,050.52 : x
  2. Step 2: Convert to fraction form
    3,542.86/4,889.74 = 2,050.52/x
  3. Step 3: Cross multiply
    3,542.86x = 4,889.74 × 2,050.52
  4. Step 4: Simplify right side
    3,542.86x = 10,026,509.66
  5. Step 5: Solve for x
    x = 10,026,509.66/3,542.86
  6. Step 6: Final answer
    x = 2,830.06

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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.