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Finding the Fourth Proportional to 3,473.87, 5,210.82 and 1,165.37

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Solution

The fourth proportional to 3,473.87, 5,210.82 and 1,165.37 is: 1,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.87 : 5,210.82 = 1,165.37 : x
  2. Step 2: Convert to fraction form
    3,473.87/5,210.82 = 1,165.37/x
  3. Step 3: Cross multiply
    3,473.87x = 5,210.82 × 1,165.37
  4. Step 4: Simplify right side
    3,473.87x = 6,072,507.25
  5. Step 5: Solve for x
    x = 6,072,507.25/3,473.87
  6. Step 6: Final answer
    x = 1,748.06

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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.