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Finding the Fourth Proportional to 3,057.01, 4,586.28 and 1,414.73

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Solution

The fourth proportional to 3,057.01, 4,586.28 and 1,414.73 is: 2,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.01 : 4,586.28 = 1,414.73 : x
  2. Step 2: Convert to fraction form
    3,057.01/4,586.28 = 1,414.73/x
  3. Step 3: Cross multiply
    3,057.01x = 4,586.28 × 1,414.73
  4. Step 4: Simplify right side
    3,057.01x = 6,488,347.90
  5. Step 5: Solve for x
    x = 6,488,347.90/3,057.01
  6. Step 6: Final answer
    x = 2,122.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.