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Finding the Fourth Proportional to 3,262.12, 4,893.06 and 953.56

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Solution

The fourth proportional to 3,262.12, 4,893.06 and 953.56 is: 1,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.12 : 4,893.06 = 953.56 : x
  2. Step 2: Convert to fraction form
    3,262.12/4,893.06 = 953.56/x
  3. Step 3: Cross multiply
    3,262.12x = 4,893.06 × 953.56
  4. Step 4: Simplify right side
    3,262.12x = 4,665,826.29
  5. Step 5: Solve for x
    x = 4,665,826.29/3,262.12
  6. Step 6: Final answer
    x = 1,430.30

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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.