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Finding the Fourth Proportional to 4,057.88, 6,083.17 and 1,460.21

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Solution

The fourth proportional to 4,057.88, 6,083.17 and 1,460.21 is: 2,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.88 : 6,083.17 = 1,460.21 : x
  2. Step 2: Convert to fraction form
    4,057.88/6,083.17 = 1,460.21/x
  3. Step 3: Cross multiply
    4,057.88x = 6,083.17 × 1,460.21
  4. Step 4: Simplify right side
    4,057.88x = 8,882,671.60
  5. Step 5: Solve for x
    x = 8,882,671.60/4,057.88
  6. Step 6: Final answer
    x = 2,189.00

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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.