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Finding the Fourth Proportional to 3,434.68, 4,742.56 and 2,636.74

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Solution

The fourth proportional to 3,434.68, 4,742.56 and 2,636.74 is: 3,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.68 : 4,742.56 = 2,636.74 : x
  2. Step 2: Convert to fraction form
    3,434.68/4,742.56 = 2,636.74/x
  3. Step 3: Cross multiply
    3,434.68x = 4,742.56 × 2,636.74
  4. Step 4: Simplify right side
    3,434.68x = 12,504,897.65
  5. Step 5: Solve for x
    x = 12,504,897.65/3,434.68
  6. Step 6: Final answer
    x = 3,640.78

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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.