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Finding the Fourth Proportional to 5,903.85, 8,146.46 and 3,781.25

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Solution

The fourth proportional to 5,903.85, 8,146.46 and 3,781.25 is: 5,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.85 : 8,146.46 = 3,781.25 : x
  2. Step 2: Convert to fraction form
    5,903.85/8,146.46 = 3,781.25/x
  3. Step 3: Cross multiply
    5,903.85x = 8,146.46 × 3,781.25
  4. Step 4: Simplify right side
    5,903.85x = 30,803,742.24
  5. Step 5: Solve for x
    x = 30,803,742.24/5,903.85
  6. Step 6: Final answer
    x = 5,217.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.