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Finding the Fourth Proportional to 5,299.68, 7,949.52 and 1,404.39

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Solution

The fourth proportional to 5,299.68, 7,949.52 and 1,404.39 is: 2,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.68 : 7,949.52 = 1,404.39 : x
  2. Step 2: Convert to fraction form
    5,299.68/7,949.52 = 1,404.39/x
  3. Step 3: Cross multiply
    5,299.68x = 7,949.52 × 1,404.39
  4. Step 4: Simplify right side
    5,299.68x = 11,164,226.39
  5. Step 5: Solve for x
    x = 11,164,226.39/5,299.68
  6. Step 6: Final answer
    x = 2,106.59

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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.