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Finding the Fourth Proportional to 4,302.15, 6,449.73 and 4,057.70

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Solution

The fourth proportional to 4,302.15, 6,449.73 and 4,057.70 is: 6,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.15 : 6,449.73 = 4,057.70 : x
  2. Step 2: Convert to fraction form
    4,302.15/6,449.73 = 4,057.70/x
  3. Step 3: Cross multiply
    4,302.15x = 6,449.73 × 4,057.70
  4. Step 4: Simplify right side
    4,302.15x = 26,171,021.96
  5. Step 5: Solve for x
    x = 26,171,021.96/4,302.15
  6. Step 6: Final answer
    x = 6,083.25

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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.