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Finding the Fourth Proportional to 3,698.62, 5,546.03 and 1,358.03

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Solution

The fourth proportional to 3,698.62, 5,546.03 and 1,358.03 is: 2,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.62 : 5,546.03 = 1,358.03 : x
  2. Step 2: Convert to fraction form
    3,698.62/5,546.03 = 1,358.03/x
  3. Step 3: Cross multiply
    3,698.62x = 5,546.03 × 1,358.03
  4. Step 4: Simplify right side
    3,698.62x = 7,531,675.12
  5. Step 5: Solve for x
    x = 7,531,675.12/3,698.62
  6. Step 6: Final answer
    x = 2,036.35

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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.