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Finding the Fourth Proportional to 5,103.52, 7,653.84 and 1,404.85

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Solution

The fourth proportional to 5,103.52, 7,653.84 and 1,404.85 is: 2,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.52 : 7,653.84 = 1,404.85 : x
  2. Step 2: Convert to fraction form
    5,103.52/7,653.84 = 1,404.85/x
  3. Step 3: Cross multiply
    5,103.52x = 7,653.84 × 1,404.85
  4. Step 4: Simplify right side
    5,103.52x = 10,752,497.12
  5. Step 5: Solve for x
    x = 10,752,497.12/5,103.52
  6. Step 6: Final answer
    x = 2,106.88

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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.