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Finding the Fourth Proportional to 4,826.67, 7,235.10 and 1,900.95

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Solution

The fourth proportional to 4,826.67, 7,235.10 and 1,900.95 is: 2,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.67 : 7,235.10 = 1,900.95 : x
  2. Step 2: Convert to fraction form
    4,826.67/7,235.10 = 1,900.95/x
  3. Step 3: Cross multiply
    4,826.67x = 7,235.10 × 1,900.95
  4. Step 4: Simplify right side
    4,826.67x = 13,753,563.35
  5. Step 5: Solve for x
    x = 13,753,563.35/4,826.67
  6. Step 6: Final answer
    x = 2,849.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.