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Finding the Fourth Proportional to 5,676.48, 7,834.32 and 3,319.20

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Solution

The fourth proportional to 5,676.48, 7,834.32 and 3,319.20 is: 4,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.48 : 7,834.32 = 3,319.20 : x
  2. Step 2: Convert to fraction form
    5,676.48/7,834.32 = 3,319.20/x
  3. Step 3: Cross multiply
    5,676.48x = 7,834.32 × 3,319.20
  4. Step 4: Simplify right side
    5,676.48x = 26,003,674.94
  5. Step 5: Solve for x
    x = 26,003,674.94/5,676.48
  6. Step 6: Final answer
    x = 4,580.95

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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.