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Finding the Fourth Proportional to 6,076.64, 8,385.72 and 3,423.80

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Solution

The fourth proportional to 6,076.64, 8,385.72 and 3,423.80 is: 4,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.64 : 8,385.72 = 3,423.80 : x
  2. Step 2: Convert to fraction form
    6,076.64/8,385.72 = 3,423.80/x
  3. Step 3: Cross multiply
    6,076.64x = 8,385.72 × 3,423.80
  4. Step 4: Simplify right side
    6,076.64x = 28,711,028.14
  5. Step 5: Solve for x
    x = 28,711,028.14/6,076.64
  6. Step 6: Final answer
    x = 4,724.82

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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.