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Finding the Fourth Proportional to 3,585.30, 5,340.97 and 3,476.49

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Solution

The fourth proportional to 3,585.30, 5,340.97 and 3,476.49 is: 5,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.30 : 5,340.97 = 3,476.49 : x
  2. Step 2: Convert to fraction form
    3,585.30/5,340.97 = 3,476.49/x
  3. Step 3: Cross multiply
    3,585.30x = 5,340.97 × 3,476.49
  4. Step 4: Simplify right side
    3,585.30x = 18,567,813.11
  5. Step 5: Solve for x
    x = 18,567,813.11/3,585.30
  6. Step 6: Final answer
    x = 5,178.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.