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Finding the Fourth Proportional to 5,820.86, 8,029.16 and 3,551.16

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Solution

The fourth proportional to 5,820.86, 8,029.16 and 3,551.16 is: 4,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.86 : 8,029.16 = 3,551.16 : x
  2. Step 2: Convert to fraction form
    5,820.86/8,029.16 = 3,551.16/x
  3. Step 3: Cross multiply
    5,820.86x = 8,029.16 × 3,551.16
  4. Step 4: Simplify right side
    5,820.86x = 28,512,814.07
  5. Step 5: Solve for x
    x = 28,512,814.07/5,820.86
  6. Step 6: Final answer
    x = 4,898.39

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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.