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Finding the Fourth Proportional to 3,356.45, 5,035.52 and 1,165.20

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Solution

The fourth proportional to 3,356.45, 5,035.52 and 1,165.20 is: 1,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.45 : 5,035.52 = 1,165.20 : x
  2. Step 2: Convert to fraction form
    3,356.45/5,035.52 = 1,165.20/x
  3. Step 3: Cross multiply
    3,356.45x = 5,035.52 × 1,165.20
  4. Step 4: Simplify right side
    3,356.45x = 5,867,393.70
  5. Step 5: Solve for x
    x = 5,867,393.70/3,356.45
  6. Step 6: Final answer
    x = 1,748.09

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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.