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Finding the Fourth Proportional to 3,723.98, 5,586.98 and 1,643.49

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Solution

The fourth proportional to 3,723.98, 5,586.98 and 1,643.49 is: 2,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.98 : 5,586.98 = 1,643.49 : x
  2. Step 2: Convert to fraction form
    3,723.98/5,586.98 = 1,643.49/x
  3. Step 3: Cross multiply
    3,723.98x = 5,586.98 × 1,643.49
  4. Step 4: Simplify right side
    3,723.98x = 9,182,137.54
  5. Step 5: Solve for x
    x = 9,182,137.54/3,723.98
  6. Step 6: Final answer
    x = 2,465.68

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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.