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Finding the Fourth Proportional to 3,549.77, 4,898.38 and 2,057.77

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Solution

The fourth proportional to 3,549.77, 4,898.38 and 2,057.77 is: 2,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.77 : 4,898.38 = 2,057.77 : x
  2. Step 2: Convert to fraction form
    3,549.77/4,898.38 = 2,057.77/x
  3. Step 3: Cross multiply
    3,549.77x = 4,898.38 × 2,057.77
  4. Step 4: Simplify right side
    3,549.77x = 10,079,704.63
  5. Step 5: Solve for x
    x = 10,079,704.63/3,549.77
  6. Step 6: Final answer
    x = 2,839.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.