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Finding the Fourth Proportional to 4,871.92, 6,723.96 and 2,776

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Solution

The fourth proportional to 4,871.92, 6,723.96 and 2,776 is: 3,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.92 : 6,723.96 = 2,776 : x
  2. Step 2: Convert to fraction form
    4,871.92/6,723.96 = 2,776/x
  3. Step 3: Cross multiply
    4,871.92x = 6,723.96 × 2,776
  4. Step 4: Simplify right side
    4,871.92x = 18,665,712.96
  5. Step 5: Solve for x
    x = 18,665,712.96/4,871.92
  6. Step 6: Final answer
    x = 3,831.28

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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.