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Finding the Fourth Proportional to 3,542.80, 4,888.83 and 1,949.14

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Solution

The fourth proportional to 3,542.80, 4,888.83 and 1,949.14 is: 2,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.80 : 4,888.83 = 1,949.14 : x
  2. Step 2: Convert to fraction form
    3,542.80/4,888.83 = 1,949.14/x
  3. Step 3: Cross multiply
    3,542.80x = 4,888.83 × 1,949.14
  4. Step 4: Simplify right side
    3,542.80x = 9,529,014.11
  5. Step 5: Solve for x
    x = 9,529,014.11/3,542.80
  6. Step 6: Final answer
    x = 2,689.68

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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.