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Finding the Fourth Proportional to 3,935.50, 5,903.25 and 1,627.06

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Solution

The fourth proportional to 3,935.50, 5,903.25 and 1,627.06 is: 2,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.50 : 5,903.25 = 1,627.06 : x
  2. Step 2: Convert to fraction form
    3,935.50/5,903.25 = 1,627.06/x
  3. Step 3: Cross multiply
    3,935.50x = 5,903.25 × 1,627.06
  4. Step 4: Simplify right side
    3,935.50x = 9,604,941.95
  5. Step 5: Solve for x
    x = 9,604,941.95/3,935.50
  6. Step 6: Final answer
    x = 2,440.59

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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.