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Finding the Fourth Proportional to 3,835.26, 5,748.21 and 1,639.35

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Solution

The fourth proportional to 3,835.26, 5,748.21 and 1,639.35 is: 2,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.26 : 5,748.21 = 1,639.35 : x
  2. Step 2: Convert to fraction form
    3,835.26/5,748.21 = 1,639.35/x
  3. Step 3: Cross multiply
    3,835.26x = 5,748.21 × 1,639.35
  4. Step 4: Simplify right side
    3,835.26x = 9,423,328.06
  5. Step 5: Solve for x
    x = 9,423,328.06/3,835.26
  6. Step 6: Final answer
    x = 2,457.02

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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.