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Finding the Fourth Proportional to 4,769.94, 6,582.56 and 2,674.07

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Solution

The fourth proportional to 4,769.94, 6,582.56 and 2,674.07 is: 3,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.94 : 6,582.56 = 2,674.07 : x
  2. Step 2: Convert to fraction form
    4,769.94/6,582.56 = 2,674.07/x
  3. Step 3: Cross multiply
    4,769.94x = 6,582.56 × 2,674.07
  4. Step 4: Simplify right side
    4,769.94x = 17,602,179.94
  5. Step 5: Solve for x
    x = 17,602,179.94/4,769.94
  6. Step 6: Final answer
    x = 3,690.23

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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.