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Finding the Fourth Proportional to 3,865.19, 5,334.18 and 2,186.68

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Solution

The fourth proportional to 3,865.19, 5,334.18 and 2,186.68 is: 3,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.19 : 5,334.18 = 2,186.68 : x
  2. Step 2: Convert to fraction form
    3,865.19/5,334.18 = 2,186.68/x
  3. Step 3: Cross multiply
    3,865.19x = 5,334.18 × 2,186.68
  4. Step 4: Simplify right side
    3,865.19x = 11,664,144.72
  5. Step 5: Solve for x
    x = 11,664,144.72/3,865.19
  6. Step 6: Final answer
    x = 3,017.74

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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.