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Finding the Fourth Proportional to 6,105.84, 8,425.10 and 3,590.11

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Solution

The fourth proportional to 6,105.84, 8,425.10 and 3,590.11 is: 4,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.84 : 8,425.10 = 3,590.11 : x
  2. Step 2: Convert to fraction form
    6,105.84/8,425.10 = 3,590.11/x
  3. Step 3: Cross multiply
    6,105.84x = 8,425.10 × 3,590.11
  4. Step 4: Simplify right side
    6,105.84x = 30,246,987.68
  5. Step 5: Solve for x
    x = 30,246,987.68/6,105.84
  6. Step 6: Final answer
    x = 4,953.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.