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Finding the Fourth Proportional to 6,076.56, 8,385.60 and 3,423.84

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Solution

The fourth proportional to 6,076.56, 8,385.60 and 3,423.84 is: 4,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.56 : 8,385.60 = 3,423.84 : x
  2. Step 2: Convert to fraction form
    6,076.56/8,385.60 = 3,423.84/x
  3. Step 3: Cross multiply
    6,076.56x = 8,385.60 × 3,423.84
  4. Step 4: Simplify right side
    6,076.56x = 28,710,952.70
  5. Step 5: Solve for x
    x = 28,710,952.70/6,076.56
  6. Step 6: Final answer
    x = 4,724.87

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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.