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Finding the Fourth Proportional to 3,461.71, 4,777.14 and 1,889.82

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Solution

The fourth proportional to 3,461.71, 4,777.14 and 1,889.82 is: 2,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.71 : 4,777.14 = 1,889.82 : x
  2. Step 2: Convert to fraction form
    3,461.71/4,777.14 = 1,889.82/x
  3. Step 3: Cross multiply
    3,461.71x = 4,777.14 × 1,889.82
  4. Step 4: Simplify right side
    3,461.71x = 9,027,934.71
  5. Step 5: Solve for x
    x = 9,027,934.71/3,461.71
  6. Step 6: Final answer
    x = 2,607.94

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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.