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Finding the Fourth Proportional to 3,633.49, 5,435.65 and 2,904.49

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Solution

The fourth proportional to 3,633.49, 5,435.65 and 2,904.49 is: 4,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.49 : 5,435.65 = 2,904.49 : x
  2. Step 2: Convert to fraction form
    3,633.49/5,435.65 = 2,904.49/x
  3. Step 3: Cross multiply
    3,633.49x = 5,435.65 × 2,904.49
  4. Step 4: Simplify right side
    3,633.49x = 15,787,791.07
  5. Step 5: Solve for x
    x = 15,787,791.07/3,633.49
  6. Step 6: Final answer
    x = 4,345.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.