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Finding the Fourth Proportional to 5,827.87, 8,734.50 and 4,590.39

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Solution

The fourth proportional to 5,827.87, 8,734.50 and 4,590.39 is: 6,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.87 : 8,734.50 = 4,590.39 : x
  2. Step 2: Convert to fraction form
    5,827.87/8,734.50 = 4,590.39/x
  3. Step 3: Cross multiply
    5,827.87x = 8,734.50 × 4,590.39
  4. Step 4: Simplify right side
    5,827.87x = 40,094,761.46
  5. Step 5: Solve for x
    x = 40,094,761.46/5,827.87
  6. Step 6: Final answer
    x = 6,879.83

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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.