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Finding the Fourth Proportional to 3,369.97, 5,054.70 and 1,290.16

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Solution

The fourth proportional to 3,369.97, 5,054.70 and 1,290.16 is: 1,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.97 : 5,054.70 = 1,290.16 : x
  2. Step 2: Convert to fraction form
    3,369.97/5,054.70 = 1,290.16/x
  3. Step 3: Cross multiply
    3,369.97x = 5,054.70 × 1,290.16
  4. Step 4: Simplify right side
    3,369.97x = 6,521,343.25
  5. Step 5: Solve for x
    x = 6,521,343.25/3,369.97
  6. Step 6: Final answer
    x = 1,935.14

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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.