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Finding the Fourth Proportional to 4,224.05, 5,829.20 and 2,361.05

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Solution

The fourth proportional to 4,224.05, 5,829.20 and 2,361.05 is: 3,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.05 : 5,829.20 = 2,361.05 : x
  2. Step 2: Convert to fraction form
    4,224.05/5,829.20 = 2,361.05/x
  3. Step 3: Cross multiply
    4,224.05x = 5,829.20 × 2,361.05
  4. Step 4: Simplify right side
    4,224.05x = 13,762,991.71
  5. Step 5: Solve for x
    x = 13,762,991.71/4,224.05
  6. Step 6: Final answer
    x = 3,258.25

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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.