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Finding the Fourth Proportional to 4,102.64, 5,662.13 and 2,334.51

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Solution

The fourth proportional to 4,102.64, 5,662.13 and 2,334.51 is: 3,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.64 : 5,662.13 = 2,334.51 : x
  2. Step 2: Convert to fraction form
    4,102.64/5,662.13 = 2,334.51/x
  3. Step 3: Cross multiply
    4,102.64x = 5,662.13 × 2,334.51
  4. Step 4: Simplify right side
    4,102.64x = 13,218,299.11
  5. Step 5: Solve for x
    x = 13,218,299.11/4,102.64
  6. Step 6: Final answer
    x = 3,221.90

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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.