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Finding the Fourth Proportional to 3,865.34, 5,334.09 and 2,186.70

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Solution

The fourth proportional to 3,865.34, 5,334.09 and 2,186.70 is: 3,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.34 : 5,334.09 = 2,186.70 : x
  2. Step 2: Convert to fraction form
    3,865.34/5,334.09 = 2,186.70/x
  3. Step 3: Cross multiply
    3,865.34x = 5,334.09 × 2,186.70
  4. Step 4: Simplify right side
    3,865.34x = 11,664,054.60
  5. Step 5: Solve for x
    x = 11,664,054.60/3,865.34
  6. Step 6: Final answer
    x = 3,017.61

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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.