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Finding the Fourth Proportional to 3,673.74, 5,070.60 and 2,102.70

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Solution

The fourth proportional to 3,673.74, 5,070.60 and 2,102.70 is: 2,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.74 : 5,070.60 = 2,102.70 : x
  2. Step 2: Convert to fraction form
    3,673.74/5,070.60 = 2,102.70/x
  3. Step 3: Cross multiply
    3,673.74x = 5,070.60 × 2,102.70
  4. Step 4: Simplify right side
    3,673.74x = 10,661,950.62
  5. Step 5: Solve for x
    x = 10,661,950.62/3,673.74
  6. Step 6: Final answer
    x = 2,902.21

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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.