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Finding the Fourth Proportional to 3,382.53, 5,070.32 and 1,624.90

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Solution

The fourth proportional to 3,382.53, 5,070.32 and 1,624.90 is: 2,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.53 : 5,070.32 = 1,624.90 : x
  2. Step 2: Convert to fraction form
    3,382.53/5,070.32 = 1,624.90/x
  3. Step 3: Cross multiply
    3,382.53x = 5,070.32 × 1,624.90
  4. Step 4: Simplify right side
    3,382.53x = 8,238,767.03
  5. Step 5: Solve for x
    x = 8,238,767.03/3,382.53
  6. Step 6: Final answer
    x = 2,435.68

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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.