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Finding the Fourth Proportional to 4,524.78, 6,786.12 and 1,404.81

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Solution

The fourth proportional to 4,524.78, 6,786.12 and 1,404.81 is: 2,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.78 : 6,786.12 = 1,404.81 : x
  2. Step 2: Convert to fraction form
    4,524.78/6,786.12 = 1,404.81/x
  3. Step 3: Cross multiply
    4,524.78x = 6,786.12 × 1,404.81
  4. Step 4: Simplify right side
    4,524.78x = 9,533,209.24
  5. Step 5: Solve for x
    x = 9,533,209.24/4,524.78
  6. Step 6: Final answer
    x = 2,106.89

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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.