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Finding the Fourth Proportional to 3,359.44, 5,037.72 and 1,306

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Solution

The fourth proportional to 3,359.44, 5,037.72 and 1,306 is: 1,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,359.44 : 5,037.72 = 1,306 : x
  2. Step 2: Convert to fraction form
    3,359.44/5,037.72 = 1,306/x
  3. Step 3: Cross multiply
    3,359.44x = 5,037.72 × 1,306
  4. Step 4: Simplify right side
    3,359.44x = 6,579,262.32
  5. Step 5: Solve for x
    x = 6,579,262.32/3,359.44
  6. Step 6: Final answer
    x = 1,958.44

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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.