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Finding the Fourth Proportional to 3,457.25, 5,184.25 and 1,264.44

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Solution

The fourth proportional to 3,457.25, 5,184.25 and 1,264.44 is: 1,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.25 : 5,184.25 = 1,264.44 : x
  2. Step 2: Convert to fraction form
    3,457.25/5,184.25 = 1,264.44/x
  3. Step 3: Cross multiply
    3,457.25x = 5,184.25 × 1,264.44
  4. Step 4: Simplify right side
    3,457.25x = 6,555,173.07
  5. Step 5: Solve for x
    x = 6,555,173.07/3,457.25
  6. Step 6: Final answer
    x = 1,896.07

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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.