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Finding the Fourth Proportional to 3,698.70, 5,548.20 and 1,066.30

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Solution

The fourth proportional to 3,698.70, 5,548.20 and 1,066.30 is: 1,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.70 : 5,548.20 = 1,066.30 : x
  2. Step 2: Convert to fraction form
    3,698.70/5,548.20 = 1,066.30/x
  3. Step 3: Cross multiply
    3,698.70x = 5,548.20 × 1,066.30
  4. Step 4: Simplify right side
    3,698.70x = 5,916,027.79
  5. Step 5: Solve for x
    x = 5,916,027.79/3,698.70
  6. Step 6: Final answer
    x = 1,599.49

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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.