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Finding the Fourth Proportional to 3,461.76, 4,777.16 and 2,116.94

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Solution

The fourth proportional to 3,461.76, 4,777.16 and 2,116.94 is: 2,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.76 : 4,777.16 = 2,116.94 : x
  2. Step 2: Convert to fraction form
    3,461.76/4,777.16 = 2,116.94/x
  3. Step 3: Cross multiply
    3,461.76x = 4,777.16 × 2,116.94
  4. Step 4: Simplify right side
    3,461.76x = 10,112,961.09
  5. Step 5: Solve for x
    x = 10,112,961.09/3,461.76
  6. Step 6: Final answer
    x = 2,921.34

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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.