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Finding the Fourth Proportional to 5,878.71, 8,113.30 and 3,361.16

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Solution

The fourth proportional to 5,878.71, 8,113.30 and 3,361.16 is: 4,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.71 : 8,113.30 = 3,361.16 : x
  2. Step 2: Convert to fraction form
    5,878.71/8,113.30 = 3,361.16/x
  3. Step 3: Cross multiply
    5,878.71x = 8,113.30 × 3,361.16
  4. Step 4: Simplify right side
    5,878.71x = 27,270,111.31
  5. Step 5: Solve for x
    x = 27,270,111.31/5,878.71
  6. Step 6: Final answer
    x = 4,638.79

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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.