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Finding the Fourth Proportional to 3,463.66, 4,776.20 and 3,182.77

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Solution

The fourth proportional to 3,463.66, 4,776.20 and 3,182.77 is: 4,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.66 : 4,776.20 = 3,182.77 : x
  2. Step 2: Convert to fraction form
    3,463.66/4,776.20 = 3,182.77/x
  3. Step 3: Cross multiply
    3,463.66x = 4,776.20 × 3,182.77
  4. Step 4: Simplify right side
    3,463.66x = 15,201,548.06
  5. Step 5: Solve for x
    x = 15,201,548.06/3,463.66
  6. Step 6: Final answer
    x = 4,388.87

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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.