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Finding the Fourth Proportional to 3,606.62, 5,409.78 and 1,973.52

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Solution

The fourth proportional to 3,606.62, 5,409.78 and 1,973.52 is: 2,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.62 : 5,409.78 = 1,973.52 : x
  2. Step 2: Convert to fraction form
    3,606.62/5,409.78 = 1,973.52/x
  3. Step 3: Cross multiply
    3,606.62x = 5,409.78 × 1,973.52
  4. Step 4: Simplify right side
    3,606.62x = 10,676,309.03
  5. Step 5: Solve for x
    x = 10,676,309.03/3,606.62
  6. Step 6: Final answer
    x = 2,960.20

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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.