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Finding the Fourth Proportional to 3,927.40, 5,937.67 and 3,927.40

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Solution

The fourth proportional to 3,927.40, 5,937.67 and 3,927.40 is: 5,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.40 : 5,937.67 = 3,927.40 : x
  2. Step 2: Convert to fraction form
    3,927.40/5,937.67 = 3,927.40/x
  3. Step 3: Cross multiply
    3,927.40x = 5,937.67 × 3,927.40
  4. Step 4: Simplify right side
    3,927.40x = 23,319,605.16
  5. Step 5: Solve for x
    x = 23,319,605.16/3,927.40
  6. Step 6: Final answer
    x = 5,937.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.