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Finding the Fourth Proportional to 5,299.63, 7,949.54 and 1,404.07

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Solution

The fourth proportional to 5,299.63, 7,949.54 and 1,404.07 is: 2,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.63 : 7,949.54 = 1,404.07 : x
  2. Step 2: Convert to fraction form
    5,299.63/7,949.54 = 1,404.07/x
  3. Step 3: Cross multiply
    5,299.63x = 7,949.54 × 1,404.07
  4. Step 4: Simplify right side
    5,299.63x = 11,161,694.26
  5. Step 5: Solve for x
    x = 11,161,694.26/5,299.63
  6. Step 6: Final answer
    x = 2,106.13

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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.