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Finding the Fourth Proportional to 4,096.68, 5,651.82 and 2,303.76

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Solution

The fourth proportional to 4,096.68, 5,651.82 and 2,303.76 is: 3,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.68 : 5,651.82 = 2,303.76 : x
  2. Step 2: Convert to fraction form
    4,096.68/5,651.82 = 2,303.76/x
  3. Step 3: Cross multiply
    4,096.68x = 5,651.82 × 2,303.76
  4. Step 4: Simplify right side
    4,096.68x = 13,020,436.84
  5. Step 5: Solve for x
    x = 13,020,436.84/4,096.68
  6. Step 6: Final answer
    x = 3,178.29

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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.