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Finding the Fourth Proportional to 5,798.38, 8,001.78 and 3,145.80

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Solution

The fourth proportional to 5,798.38, 8,001.78 and 3,145.80 is: 4,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.38 : 8,001.78 = 3,145.80 : x
  2. Step 2: Convert to fraction form
    5,798.38/8,001.78 = 3,145.80/x
  3. Step 3: Cross multiply
    5,798.38x = 8,001.78 × 3,145.80
  4. Step 4: Simplify right side
    5,798.38x = 25,171,999.52
  5. Step 5: Solve for x
    x = 25,171,999.52/5,798.38
  6. Step 6: Final answer
    x = 4,341.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.