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Finding the Fourth Proportional to 3,356.56, 5,037.14 and 1,165.27

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Solution

The fourth proportional to 3,356.56, 5,037.14 and 1,165.27 is: 1,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.56 : 5,037.14 = 1,165.27 : x
  2. Step 2: Convert to fraction form
    3,356.56/5,037.14 = 1,165.27/x
  3. Step 3: Cross multiply
    3,356.56x = 5,037.14 × 1,165.27
  4. Step 4: Simplify right side
    3,356.56x = 5,869,628.13
  5. Step 5: Solve for x
    x = 5,869,628.13/3,356.56
  6. Step 6: Final answer
    x = 1,748.70

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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.