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Finding the Fourth Proportional to 5,798.39, 8,001.77 and 3,145.86

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Solution

The fourth proportional to 5,798.39, 8,001.77 and 3,145.86 is: 4,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.39 : 8,001.77 = 3,145.86 : x
  2. Step 2: Convert to fraction form
    5,798.39/8,001.77 = 3,145.86/x
  3. Step 3: Cross multiply
    5,798.39x = 8,001.77 × 3,145.86
  4. Step 4: Simplify right side
    5,798.39x = 25,172,432.44
  5. Step 5: Solve for x
    x = 25,172,432.44/5,798.39
  6. Step 6: Final answer
    x = 4,341.28

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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.