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Finding the Fourth Proportional to 3,606.69, 5,410.05 and 1,009.62

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Solution

The fourth proportional to 3,606.69, 5,410.05 and 1,009.62 is: 1,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.69 : 5,410.05 = 1,009.62 : x
  2. Step 2: Convert to fraction form
    3,606.69/5,410.05 = 1,009.62/x
  3. Step 3: Cross multiply
    3,606.69x = 5,410.05 × 1,009.62
  4. Step 4: Simplify right side
    3,606.69x = 5,462,094.68
  5. Step 5: Solve for x
    x = 5,462,094.68/3,606.69
  6. Step 6: Final answer
    x = 1,514.43

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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.