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Finding the Fourth Proportional to 3,460.54, 4,774.82 and 2,201.14

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Solution

The fourth proportional to 3,460.54, 4,774.82 and 2,201.14 is: 3,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.54 : 4,774.82 = 2,201.14 : x
  2. Step 2: Convert to fraction form
    3,460.54/4,774.82 = 2,201.14/x
  3. Step 3: Cross multiply
    3,460.54x = 4,774.82 × 2,201.14
  4. Step 4: Simplify right side
    3,460.54x = 10,510,047.29
  5. Step 5: Solve for x
    x = 10,510,047.29/3,460.54
  6. Step 6: Final answer
    x = 3,037.11

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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.