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Finding the Fourth Proportional to 3,549.28, 4,898.01 and 1,977.38

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Solution

The fourth proportional to 3,549.28, 4,898.01 and 1,977.38 is: 2,728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.28 : 4,898.01 = 1,977.38 : x
  2. Step 2: Convert to fraction form
    3,549.28/4,898.01 = 1,977.38/x
  3. Step 3: Cross multiply
    3,549.28x = 4,898.01 × 1,977.38
  4. Step 4: Simplify right side
    3,549.28x = 9,685,227.01
  5. Step 5: Solve for x
    x = 9,685,227.01/3,549.28
  6. Step 6: Final answer
    x = 2,728.79

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1.5x scale

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.