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Finding the Fourth Proportional to 6,335.99, 8,742.71 and 3,817.59

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Solution

The fourth proportional to 6,335.99, 8,742.71 and 3,817.59 is: 5,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.99 : 8,742.71 = 3,817.59 : x
  2. Step 2: Convert to fraction form
    6,335.99/8,742.71 = 3,817.59/x
  3. Step 3: Cross multiply
    6,335.99x = 8,742.71 × 3,817.59
  4. Step 4: Simplify right side
    6,335.99x = 33,376,063.18
  5. Step 5: Solve for x
    x = 33,376,063.18/6,335.99
  6. Step 6: Final answer
    x = 5,267.70

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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.