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Finding the Fourth Proportional to 4,769.74, 6,582.37 and 2,881.66

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Solution

The fourth proportional to 4,769.74, 6,582.37 and 2,881.66 is: 3,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.74 : 6,582.37 = 2,881.66 : x
  2. Step 2: Convert to fraction form
    4,769.74/6,582.37 = 2,881.66/x
  3. Step 3: Cross multiply
    4,769.74x = 6,582.37 × 2,881.66
  4. Step 4: Simplify right side
    4,769.74x = 18,968,126.75
  5. Step 5: Solve for x
    x = 18,968,126.75/4,769.74
  6. Step 6: Final answer
    x = 3,976.77

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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.