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Finding the Fourth Proportional to 3,596.64, 5,393.76 and 1,404.80

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Solution

The fourth proportional to 3,596.64, 5,393.76 and 1,404.80 is: 2,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.64 : 5,393.76 = 1,404.80 : x
  2. Step 2: Convert to fraction form
    3,596.64/5,393.76 = 1,404.80/x
  3. Step 3: Cross multiply
    3,596.64x = 5,393.76 × 1,404.80
  4. Step 4: Simplify right side
    3,596.64x = 7,577,154.05
  5. Step 5: Solve for x
    x = 7,577,154.05/3,596.64
  6. Step 6: Final answer
    x = 2,106.73

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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.