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Finding the Fourth Proportional to 3,761.92, 5,643.59 and 1,682.01

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Solution

The fourth proportional to 3,761.92, 5,643.59 and 1,682.01 is: 2,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.92 : 5,643.59 = 1,682.01 : x
  2. Step 2: Convert to fraction form
    3,761.92/5,643.59 = 1,682.01/x
  3. Step 3: Cross multiply
    3,761.92x = 5,643.59 × 1,682.01
  4. Step 4: Simplify right side
    3,761.92x = 9,492,545.24
  5. Step 5: Solve for x
    x = 9,492,545.24/3,761.92
  6. Step 6: Final answer
    x = 2,523.32

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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.