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Finding the Fourth Proportional to 3,834.70, 5,752.05 and 1,372.30

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Solution

The fourth proportional to 3,834.70, 5,752.05 and 1,372.30 is: 2,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.70 : 5,752.05 = 1,372.30 : x
  2. Step 2: Convert to fraction form
    3,834.70/5,752.05 = 1,372.30/x
  3. Step 3: Cross multiply
    3,834.70x = 5,752.05 × 1,372.30
  4. Step 4: Simplify right side
    3,834.70x = 7,893,538.22
  5. Step 5: Solve for x
    x = 7,893,538.22/3,834.70
  6. Step 6: Final answer
    x = 2,058.45

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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.