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Finding the Fourth Proportional to 4,864.66, 6,713.49 and 2,769.46

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Solution

The fourth proportional to 4,864.66, 6,713.49 and 2,769.46 is: 3,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.66 : 6,713.49 = 2,769.46 : x
  2. Step 2: Convert to fraction form
    4,864.66/6,713.49 = 2,769.46/x
  3. Step 3: Cross multiply
    4,864.66x = 6,713.49 × 2,769.46
  4. Step 4: Simplify right side
    4,864.66x = 18,592,742.02
  5. Step 5: Solve for x
    x = 18,592,742.02/4,864.66
  6. Step 6: Final answer
    x = 3,822.00

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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.