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Finding the Fourth Proportional to 3,915.56, 5,406 and 2,865.80

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Solution

The fourth proportional to 3,915.56, 5,406 and 2,865.80 is: 3,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.56 : 5,406 = 2,865.80 : x
  2. Step 2: Convert to fraction form
    3,915.56/5,406 = 2,865.80/x
  3. Step 3: Cross multiply
    3,915.56x = 5,406 × 2,865.80
  4. Step 4: Simplify right side
    3,915.56x = 15,492,514.80
  5. Step 5: Solve for x
    x = 15,492,514.80/3,915.56
  6. Step 6: Final answer
    x = 3,956.65

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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.