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Finding the Fourth Proportional to 3,422.95, 4,724.96 and 2,366.21

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Solution

The fourth proportional to 3,422.95, 4,724.96 and 2,366.21 is: 3,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.95 : 4,724.96 = 2,366.21 : x
  2. Step 2: Convert to fraction form
    3,422.95/4,724.96 = 2,366.21/x
  3. Step 3: Cross multiply
    3,422.95x = 4,724.96 × 2,366.21
  4. Step 4: Simplify right side
    3,422.95x = 11,180,247.58
  5. Step 5: Solve for x
    x = 11,180,247.58/3,422.95
  6. Step 6: Final answer
    x = 3,266.26

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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.