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Finding the Fourth Proportional to 3,834.04, 5,751.44 and 1,525

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Solution

The fourth proportional to 3,834.04, 5,751.44 and 1,525 is: 2,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.04 : 5,751.44 = 1,525 : x
  2. Step 2: Convert to fraction form
    3,834.04/5,751.44 = 1,525/x
  3. Step 3: Cross multiply
    3,834.04x = 5,751.44 × 1,525
  4. Step 4: Simplify right side
    3,834.04x = 8,770,946
  5. Step 5: Solve for x
    x = 8,770,946/3,834.04
  6. Step 6: Final answer
    x = 2,287.65

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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.