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Finding the Fourth Proportional to 3,525.92, 5,284.68 and 1,445.84

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Solution

The fourth proportional to 3,525.92, 5,284.68 and 1,445.84 is: 2,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.92 : 5,284.68 = 1,445.84 : x
  2. Step 2: Convert to fraction form
    3,525.92/5,284.68 = 1,445.84/x
  3. Step 3: Cross multiply
    3,525.92x = 5,284.68 × 1,445.84
  4. Step 4: Simplify right side
    3,525.92x = 7,640,801.73
  5. Step 5: Solve for x
    x = 7,640,801.73/3,525.92
  6. Step 6: Final answer
    x = 2,167.04

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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.