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Finding the Fourth Proportional to 3,461.72, 4,777.20 and 1,889.78

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Solution

The fourth proportional to 3,461.72, 4,777.20 and 1,889.78 is: 2,607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.72 : 4,777.20 = 1,889.78 : x
  2. Step 2: Convert to fraction form
    3,461.72/4,777.20 = 1,889.78/x
  3. Step 3: Cross multiply
    3,461.72x = 4,777.20 × 1,889.78
  4. Step 4: Simplify right side
    3,461.72x = 9,027,833.13
  5. Step 5: Solve for x
    x = 9,027,833.13/3,461.72
  6. Step 6: Final answer
    x = 2,607.91

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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.