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Finding the Fourth Proportional to 5,877.76, 8,112.96 and 3,361.20

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Solution

The fourth proportional to 5,877.76, 8,112.96 and 3,361.20 is: 4,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.76 : 8,112.96 = 3,361.20 : x
  2. Step 2: Convert to fraction form
    5,877.76/8,112.96 = 3,361.20/x
  3. Step 3: Cross multiply
    5,877.76x = 8,112.96 × 3,361.20
  4. Step 4: Simplify right side
    5,877.76x = 27,269,281.15
  5. Step 5: Solve for x
    x = 27,269,281.15/5,877.76
  6. Step 6: Final answer
    x = 4,639.40

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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.