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Finding the Fourth Proportional to 3,356.25, 5,035.10 and 1,304.25

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Solution

The fourth proportional to 3,356.25, 5,035.10 and 1,304.25 is: 1,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.25 : 5,035.10 = 1,304.25 : x
  2. Step 2: Convert to fraction form
    3,356.25/5,035.10 = 1,304.25/x
  3. Step 3: Cross multiply
    3,356.25x = 5,035.10 × 1,304.25
  4. Step 4: Simplify right side
    3,356.25x = 6,567,022.65
  5. Step 5: Solve for x
    x = 6,567,022.65/3,356.25
  6. Step 6: Final answer
    x = 1,956.65

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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.