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Finding the Fourth Proportional to 4,224.32, 5,829.52 and 2,361.32

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Solution

The fourth proportional to 4,224.32, 5,829.52 and 2,361.32 is: 3,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.32 : 5,829.52 = 2,361.32 : x
  2. Step 2: Convert to fraction form
    4,224.32/5,829.52 = 2,361.32/x
  3. Step 3: Cross multiply
    4,224.32x = 5,829.52 × 2,361.32
  4. Step 4: Simplify right side
    4,224.32x = 13,765,362.17
  5. Step 5: Solve for x
    x = 13,765,362.17/4,224.32
  6. Step 6: Final answer
    x = 3,258.60

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