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Finding the Fourth Proportional to 3,606.60, 5,407.23 and 1,414.20

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Solution

The fourth proportional to 3,606.60, 5,407.23 and 1,414.20 is: 2,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.60 : 5,407.23 = 1,414.20 : x
  2. Step 2: Convert to fraction form
    3,606.60/5,407.23 = 1,414.20/x
  3. Step 3: Cross multiply
    3,606.60x = 5,407.23 × 1,414.20
  4. Step 4: Simplify right side
    3,606.60x = 7,646,904.67
  5. Step 5: Solve for x
    x = 7,646,904.67/3,606.60
  6. Step 6: Final answer
    x = 2,120.25

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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.