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Finding the Fourth Proportional to 3,482.53, 5,220.10 and 1,632.09

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Solution

The fourth proportional to 3,482.53, 5,220.10 and 1,632.09 is: 2,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.53 : 5,220.10 = 1,632.09 : x
  2. Step 2: Convert to fraction form
    3,482.53/5,220.10 = 1,632.09/x
  3. Step 3: Cross multiply
    3,482.53x = 5,220.10 × 1,632.09
  4. Step 4: Simplify right side
    3,482.53x = 8,519,673.01
  5. Step 5: Solve for x
    x = 8,519,673.01/3,482.53
  6. Step 6: Final answer
    x = 2,446.40

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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.