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Finding the Fourth Proportional to 3,475.30, 4,796.14 and 2,281

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Solution

The fourth proportional to 3,475.30, 4,796.14 and 2,281 is: 3,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.30 : 4,796.14 = 2,281 : x
  2. Step 2: Convert to fraction form
    3,475.30/4,796.14 = 2,281/x
  3. Step 3: Cross multiply
    3,475.30x = 4,796.14 × 2,281
  4. Step 4: Simplify right side
    3,475.30x = 10,939,995.34
  5. Step 5: Solve for x
    x = 10,939,995.34/3,475.30
  6. Step 6: Final answer
    x = 3,147.93

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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.