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Finding the Fourth Proportional to 3,557.57, 4,909.41 and 1,964.24

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Solution

The fourth proportional to 3,557.57, 4,909.41 and 1,964.24 is: 2,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.57 : 4,909.41 = 1,964.24 : x
  2. Step 2: Convert to fraction form
    3,557.57/4,909.41 = 1,964.24/x
  3. Step 3: Cross multiply
    3,557.57x = 4,909.41 × 1,964.24
  4. Step 4: Simplify right side
    3,557.57x = 9,643,234.95
  5. Step 5: Solve for x
    x = 9,643,234.95/3,557.57
  6. Step 6: Final answer
    x = 2,710.63

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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.