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Finding the Fourth Proportional to 4,655.40, 6,423.60 and 3,769.66

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Solution

The fourth proportional to 4,655.40, 6,423.60 and 3,769.66 is: 5,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.40 : 6,423.60 = 3,769.66 : x
  2. Step 2: Convert to fraction form
    4,655.40/6,423.60 = 3,769.66/x
  3. Step 3: Cross multiply
    4,655.40x = 6,423.60 × 3,769.66
  4. Step 4: Simplify right side
    4,655.40x = 24,214,787.98
  5. Step 5: Solve for x
    x = 24,214,787.98/4,655.40
  6. Step 6: Final answer
    x = 5,201.44

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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.