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Finding the Fourth Proportional to 6,265.14, 8,648.70 and 4,141.98

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Solution

The fourth proportional to 6,265.14, 8,648.70 and 4,141.98 is: 5,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.14 : 8,648.70 = 4,141.98 : x
  2. Step 2: Convert to fraction form
    6,265.14/8,648.70 = 4,141.98/x
  3. Step 3: Cross multiply
    6,265.14x = 8,648.70 × 4,141.98
  4. Step 4: Simplify right side
    6,265.14x = 35,822,742.43
  5. Step 5: Solve for x
    x = 35,822,742.43/6,265.14
  6. Step 6: Final answer
    x = 5,717.79

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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.