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Finding the Fourth Proportional to 3,674.52, 5,512.60 and 1,209.24

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Solution

The fourth proportional to 3,674.52, 5,512.60 and 1,209.24 is: 1,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.52 : 5,512.60 = 1,209.24 : x
  2. Step 2: Convert to fraction form
    3,674.52/5,512.60 = 1,209.24/x
  3. Step 3: Cross multiply
    3,674.52x = 5,512.60 × 1,209.24
  4. Step 4: Simplify right side
    3,674.52x = 6,666,056.42
  5. Step 5: Solve for x
    x = 6,666,056.42/3,674.52
  6. Step 6: Final answer
    x = 1,814.13

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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.