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Finding the Fourth Proportional to 4,186.64, 5,765.76 and 4,095.92

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Solution

The fourth proportional to 4,186.64, 5,765.76 and 4,095.92 is: 5,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.64 : 5,765.76 = 4,095.92 : x
  2. Step 2: Convert to fraction form
    4,186.64/5,765.76 = 4,095.92/x
  3. Step 3: Cross multiply
    4,186.64x = 5,765.76 × 4,095.92
  4. Step 4: Simplify right side
    4,186.64x = 23,616,091.70
  5. Step 5: Solve for x
    x = 23,616,091.70/4,186.64
  6. Step 6: Final answer
    x = 5,640.82

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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.