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Finding the Fourth Proportional to 5,734.40, 8,590.92 and 4,815.92

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Solution

The fourth proportional to 5,734.40, 8,590.92 and 4,815.92 is: 7,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.40 : 8,590.92 = 4,815.92 : x
  2. Step 2: Convert to fraction form
    5,734.40/8,590.92 = 4,815.92/x
  3. Step 3: Cross multiply
    5,734.40x = 8,590.92 × 4,815.92
  4. Step 4: Simplify right side
    5,734.40x = 41,373,183.45
  5. Step 5: Solve for x
    x = 41,373,183.45/5,734.40
  6. Step 6: Final answer
    x = 7,214.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.