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Finding the Fourth Proportional to 4,224, 5,829.18 and 2,361

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Solution

The fourth proportional to 4,224, 5,829.18 and 2,361 is: 3,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224 : 5,829.18 = 2,361 : x
  2. Step 2: Convert to fraction form
    4,224/5,829.18 = 2,361/x
  3. Step 3: Cross multiply
    4,224x = 5,829.18 × 2,361
  4. Step 4: Simplify right side
    4,224x = 13,762,693.98
  5. Step 5: Solve for x
    x = 13,762,693.98/4,224
  6. Step 6: Final answer
    x = 3,258.21

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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.