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Finding the Fourth Proportional to 6,226.87, 8,590.98 and 4,234

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Solution

The fourth proportional to 6,226.87, 8,590.98 and 4,234 is: 5,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.87 : 8,590.98 = 4,234 : x
  2. Step 2: Convert to fraction form
    6,226.87/8,590.98 = 4,234/x
  3. Step 3: Cross multiply
    6,226.87x = 8,590.98 × 4,234
  4. Step 4: Simplify right side
    6,226.87x = 36,374,209.32
  5. Step 5: Solve for x
    x = 36,374,209.32/6,226.87
  6. Step 6: Final answer
    x = 5,841.49

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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.