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Finding the Fourth Proportional to 5,007.40, 6,902.85 and 3,941.75

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Solution

The fourth proportional to 5,007.40, 6,902.85 and 3,941.75 is: 5,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.40 : 6,902.85 = 3,941.75 : x
  2. Step 2: Convert to fraction form
    5,007.40/6,902.85 = 3,941.75/x
  3. Step 3: Cross multiply
    5,007.40x = 6,902.85 × 3,941.75
  4. Step 4: Simplify right side
    5,007.40x = 27,209,311.46
  5. Step 5: Solve for x
    x = 27,209,311.46/5,007.40
  6. Step 6: Final answer
    x = 5,433.82

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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.