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Finding the Fourth Proportional to 4,256.64, 6,380 and 2,773.76

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Solution

The fourth proportional to 4,256.64, 6,380 and 2,773.76 is: 4,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.64 : 6,380 = 2,773.76 : x
  2. Step 2: Convert to fraction form
    4,256.64/6,380 = 2,773.76/x
  3. Step 3: Cross multiply
    4,256.64x = 6,380 × 2,773.76
  4. Step 4: Simplify right side
    4,256.64x = 17,696,588.80
  5. Step 5: Solve for x
    x = 17,696,588.80/4,256.64
  6. Step 6: Final answer
    x = 4,157.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.