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Finding the Fourth Proportional to 5,905.94, 8,159.01 and 4,769.92

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Solution

The fourth proportional to 5,905.94, 8,159.01 and 4,769.92 is: 6,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.94 : 8,159.01 = 4,769.92 : x
  2. Step 2: Convert to fraction form
    5,905.94/8,159.01 = 4,769.92/x
  3. Step 3: Cross multiply
    5,905.94x = 8,159.01 × 4,769.92
  4. Step 4: Simplify right side
    5,905.94x = 38,917,784.18
  5. Step 5: Solve for x
    x = 38,917,784.18/5,905.94
  6. Step 6: Final answer
    x = 6,589.60

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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.