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Finding the Fourth Proportional to 6,185.71, 8,533.79 and 4,298.82

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Solution

The fourth proportional to 6,185.71, 8,533.79 and 4,298.82 is: 5,930.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.71 : 8,533.79 = 4,298.82 : x
  2. Step 2: Convert to fraction form
    6,185.71/8,533.79 = 4,298.82/x
  3. Step 3: Cross multiply
    6,185.71x = 8,533.79 × 4,298.82
  4. Step 4: Simplify right side
    6,185.71x = 36,685,162.96
  5. Step 5: Solve for x
    x = 36,685,162.96/6,185.71
  6. Step 6: Final answer
    x = 5,930.63

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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.