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Finding the Fourth Proportional to 3,642.12, 5,026.17 and 2,846.37

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Solution

The fourth proportional to 3,642.12, 5,026.17 and 2,846.37 is: 3,928.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.12 : 5,026.17 = 2,846.37 : x
  2. Step 2: Convert to fraction form
    3,642.12/5,026.17 = 2,846.37/x
  3. Step 3: Cross multiply
    3,642.12x = 5,026.17 × 2,846.37
  4. Step 4: Simplify right side
    3,642.12x = 14,306,339.50
  5. Step 5: Solve for x
    x = 14,306,339.50/3,642.12
  6. Step 6: Final answer
    x = 3,928.03

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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.