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Finding the Fourth Proportional to 5,899.12, 8,141.52 and 3,542.56

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Solution

The fourth proportional to 5,899.12, 8,141.52 and 3,542.56 is: 4,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.12 : 8,141.52 = 3,542.56 : x
  2. Step 2: Convert to fraction form
    5,899.12/8,141.52 = 3,542.56/x
  3. Step 3: Cross multiply
    5,899.12x = 8,141.52 × 3,542.56
  4. Step 4: Simplify right side
    5,899.12x = 28,841,823.09
  5. Step 5: Solve for x
    x = 28,841,823.09/5,899.12
  6. Step 6: Final answer
    x = 4,889.17

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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.