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Finding the Fourth Proportional to 3,797.44, 5,695.06 and 1,457.28

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Solution

The fourth proportional to 3,797.44, 5,695.06 and 1,457.28 is: 2,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.44 : 5,695.06 = 1,457.28 : x
  2. Step 2: Convert to fraction form
    3,797.44/5,695.06 = 1,457.28/x
  3. Step 3: Cross multiply
    3,797.44x = 5,695.06 × 1,457.28
  4. Step 4: Simplify right side
    3,797.44x = 8,299,297.04
  5. Step 5: Solve for x
    x = 8,299,297.04/3,797.44
  6. Step 6: Final answer
    x = 2,185.50

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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.