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Finding the Fourth Proportional to 3,673.53, 5,510.25 and 900.21

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Solution

The fourth proportional to 3,673.53, 5,510.25 and 900.21 is: 1,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.53 : 5,510.25 = 900.21 : x
  2. Step 2: Convert to fraction form
    3,673.53/5,510.25 = 900.21/x
  3. Step 3: Cross multiply
    3,673.53x = 5,510.25 × 900.21
  4. Step 4: Simplify right side
    3,673.53x = 4,960,382.15
  5. Step 5: Solve for x
    x = 4,960,382.15/3,673.53
  6. Step 6: Final answer
    x = 1,350.30

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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.