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Finding the Fourth Proportional to 3,249.76, 4,875.05 and 1,057.90

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Solution

The fourth proportional to 3,249.76, 4,875.05 and 1,057.90 is: 1,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.76 : 4,875.05 = 1,057.90 : x
  2. Step 2: Convert to fraction form
    3,249.76/4,875.05 = 1,057.90/x
  3. Step 3: Cross multiply
    3,249.76x = 4,875.05 × 1,057.90
  4. Step 4: Simplify right side
    3,249.76x = 5,157,324.94
  5. Step 5: Solve for x
    x = 5,157,324.94/3,249.76
  6. Step 6: Final answer
    x = 1,586.99

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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.