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Finding the Fourth Proportional to 3,492.75, 4,821.27 and 2,314.20

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Solution

The fourth proportional to 3,492.75, 4,821.27 and 2,314.20 is: 3,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.75 : 4,821.27 = 2,314.20 : x
  2. Step 2: Convert to fraction form
    3,492.75/4,821.27 = 2,314.20/x
  3. Step 3: Cross multiply
    3,492.75x = 4,821.27 × 2,314.20
  4. Step 4: Simplify right side
    3,492.75x = 11,157,383.03
  5. Step 5: Solve for x
    x = 11,157,383.03/3,492.75
  6. Step 6: Final answer
    x = 3,194.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.