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Finding the Fourth Proportional to 3,673.50, 5,069.46 and 2,101.56

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Solution

The fourth proportional to 3,673.50, 5,069.46 and 2,101.56 is: 2,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.50 : 5,069.46 = 2,101.56 : x
  2. Step 2: Convert to fraction form
    3,673.50/5,069.46 = 2,101.56/x
  3. Step 3: Cross multiply
    3,673.50x = 5,069.46 × 2,101.56
  4. Step 4: Simplify right side
    3,673.50x = 10,653,774.36
  5. Step 5: Solve for x
    x = 10,653,774.36/3,673.50
  6. Step 6: Final answer
    x = 2,900.17

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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.