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Finding the Fourth Proportional to 3,460.37, 4,775.70 and 1,927.44

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Solution

The fourth proportional to 3,460.37, 4,775.70 and 1,927.44 is: 2,660.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.37 : 4,775.70 = 1,927.44 : x
  2. Step 2: Convert to fraction form
    3,460.37/4,775.70 = 1,927.44/x
  3. Step 3: Cross multiply
    3,460.37x = 4,775.70 × 1,927.44
  4. Step 4: Simplify right side
    3,460.37x = 9,204,875.21
  5. Step 5: Solve for x
    x = 9,204,875.21/3,460.37
  6. Step 6: Final answer
    x = 2,660.09

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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.