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Finding the Fourth Proportional to 3,563.40, 4,915.62 and 2,165.16

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Solution

The fourth proportional to 3,563.40, 4,915.62 and 2,165.16 is: 2,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.40 : 4,915.62 = 2,165.16 : x
  2. Step 2: Convert to fraction form
    3,563.40/4,915.62 = 2,165.16/x
  3. Step 3: Cross multiply
    3,563.40x = 4,915.62 × 2,165.16
  4. Step 4: Simplify right side
    3,563.40x = 10,643,103.80
  5. Step 5: Solve for x
    x = 10,643,103.80/3,563.40
  6. Step 6: Final answer
    x = 2,986.78

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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.