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Finding the Fourth Proportional to 3,106.38, 4,655.19 and 2,409.81

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Solution

The fourth proportional to 3,106.38, 4,655.19 and 2,409.81 is: 3,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.38 : 4,655.19 = 2,409.81 : x
  2. Step 2: Convert to fraction form
    3,106.38/4,655.19 = 2,409.81/x
  3. Step 3: Cross multiply
    3,106.38x = 4,655.19 × 2,409.81
  4. Step 4: Simplify right side
    3,106.38x = 11,218,123.41
  5. Step 5: Solve for x
    x = 11,218,123.41/3,106.38
  6. Step 6: Final answer
    x = 3,611.32

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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.