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Finding the Fourth Proportional to 3,634.02, 5,451.02 and 1,036.62

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Solution

The fourth proportional to 3,634.02, 5,451.02 and 1,036.62 is: 1,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.02 : 5,451.02 = 1,036.62 : x
  2. Step 2: Convert to fraction form
    3,634.02/5,451.02 = 1,036.62/x
  3. Step 3: Cross multiply
    3,634.02x = 5,451.02 × 1,036.62
  4. Step 4: Simplify right side
    3,634.02x = 5,650,636.35
  5. Step 5: Solve for x
    x = 5,650,636.35/3,634.02
  6. Step 6: Final answer
    x = 1,554.93

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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.