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Finding the Fourth Proportional to 3,057.91, 4,577.74 and 3,005.66

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Solution

The fourth proportional to 3,057.91, 4,577.74 and 3,005.66 is: 4,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.91 : 4,577.74 = 3,005.66 : x
  2. Step 2: Convert to fraction form
    3,057.91/4,577.74 = 3,005.66/x
  3. Step 3: Cross multiply
    3,057.91x = 4,577.74 × 3,005.66
  4. Step 4: Simplify right side
    3,057.91x = 13,759,133.94
  5. Step 5: Solve for x
    x = 13,759,133.94/3,057.91
  6. Step 6: Final answer
    x = 4,499.53

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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.