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Finding the Fourth Proportional to 3,549.38, 4,898.24 and 1,977.44

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Solution

The fourth proportional to 3,549.38, 4,898.24 and 1,977.44 is: 2,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.38 : 4,898.24 = 1,977.44 : x
  2. Step 2: Convert to fraction form
    3,549.38/4,898.24 = 1,977.44/x
  3. Step 3: Cross multiply
    3,549.38x = 4,898.24 × 1,977.44
  4. Step 4: Simplify right side
    3,549.38x = 9,685,965.82
  5. Step 5: Solve for x
    x = 9,685,965.82/3,549.38
  6. Step 6: Final answer
    x = 2,728.92

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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.