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Finding the Fourth Proportional to 5,676.86, 7,834.12 and 3,159.02

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Solution

The fourth proportional to 5,676.86, 7,834.12 and 3,159.02 is: 4,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.86 : 7,834.12 = 3,159.02 : x
  2. Step 2: Convert to fraction form
    5,676.86/7,834.12 = 3,159.02/x
  3. Step 3: Cross multiply
    5,676.86x = 7,834.12 × 3,159.02
  4. Step 4: Simplify right side
    5,676.86x = 24,748,141.76
  5. Step 5: Solve for x
    x = 24,748,141.76/5,676.86
  6. Step 6: Final answer
    x = 4,359.48

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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.