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Finding the Fourth Proportional to 4,695.84, 7,042.32 and 3,769.20

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Solution

The fourth proportional to 4,695.84, 7,042.32 and 3,769.20 is: 5,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.84 : 7,042.32 = 3,769.20 : x
  2. Step 2: Convert to fraction form
    4,695.84/7,042.32 = 3,769.20/x
  3. Step 3: Cross multiply
    4,695.84x = 7,042.32 × 3,769.20
  4. Step 4: Simplify right side
    4,695.84x = 26,543,912.54
  5. Step 5: Solve for x
    x = 26,543,912.54/4,695.84
  6. Step 6: Final answer
    x = 5,652.64

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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.