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Finding the Fourth Proportional to 5,272.69, 7,908.13 and 1,809.94

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Solution

The fourth proportional to 5,272.69, 7,908.13 and 1,809.94 is: 2,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.69 : 7,908.13 = 1,809.94 : x
  2. Step 2: Convert to fraction form
    5,272.69/7,908.13 = 1,809.94/x
  3. Step 3: Cross multiply
    5,272.69x = 7,908.13 × 1,809.94
  4. Step 4: Simplify right side
    5,272.69x = 14,313,240.81
  5. Step 5: Solve for x
    x = 14,313,240.81/5,272.69
  6. Step 6: Final answer
    x = 2,714.60

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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.