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Finding the Fourth Proportional to 3,938.85, 5,908.32 and 1,017.09

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Solution

The fourth proportional to 3,938.85, 5,908.32 and 1,017.09 is: 1,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.85 : 5,908.32 = 1,017.09 : x
  2. Step 2: Convert to fraction form
    3,938.85/5,908.32 = 1,017.09/x
  3. Step 3: Cross multiply
    3,938.85x = 5,908.32 × 1,017.09
  4. Step 4: Simplify right side
    3,938.85x = 6,009,293.19
  5. Step 5: Solve for x
    x = 6,009,293.19/3,938.85
  6. Step 6: Final answer
    x = 1,525.65

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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.