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Finding the Fourth Proportional to 4,524.71, 6,786.74 and 1,404.64

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Solution

The fourth proportional to 4,524.71, 6,786.74 and 1,404.64 is: 2,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.71 : 6,786.74 = 1,404.64 : x
  2. Step 2: Convert to fraction form
    4,524.71/6,786.74 = 1,404.64/x
  3. Step 3: Cross multiply
    4,524.71x = 6,786.74 × 1,404.64
  4. Step 4: Simplify right side
    4,524.71x = 9,532,926.47
  5. Step 5: Solve for x
    x = 9,532,926.47/4,524.71
  6. Step 6: Final answer
    x = 2,106.86

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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.