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Finding the Fourth Proportional to 4,871.66, 6,723.33 and 2,776.46

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Solution

The fourth proportional to 4,871.66, 6,723.33 and 2,776.46 is: 3,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.66 : 6,723.33 = 2,776.46 : x
  2. Step 2: Convert to fraction form
    4,871.66/6,723.33 = 2,776.46/x
  3. Step 3: Cross multiply
    4,871.66x = 6,723.33 × 2,776.46
  4. Step 4: Simplify right side
    4,871.66x = 18,667,056.81
  5. Step 5: Solve for x
    x = 18,667,056.81/4,871.66
  6. Step 6: Final answer
    x = 3,831.77

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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.