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Finding the Fourth Proportional to 3,764.82, 5,643.57 and 1,574.18

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Solution

The fourth proportional to 3,764.82, 5,643.57 and 1,574.18 is: 2,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.82 : 5,643.57 = 1,574.18 : x
  2. Step 2: Convert to fraction form
    3,764.82/5,643.57 = 1,574.18/x
  3. Step 3: Cross multiply
    3,764.82x = 5,643.57 × 1,574.18
  4. Step 4: Simplify right side
    3,764.82x = 8,883,966.80
  5. Step 5: Solve for x
    x = 8,883,966.80/3,764.82
  6. Step 6: Final answer
    x = 2,359.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.