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Finding the Fourth Proportional to 6,782.50, 9,359.94 and 3,988

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Solution

The fourth proportional to 6,782.50, 9,359.94 and 3,988 is: 5,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.50 : 9,359.94 = 3,988 : x
  2. Step 2: Convert to fraction form
    6,782.50/9,359.94 = 3,988/x
  3. Step 3: Cross multiply
    6,782.50x = 9,359.94 × 3,988
  4. Step 4: Simplify right side
    6,782.50x = 37,327,440.72
  5. Step 5: Solve for x
    x = 37,327,440.72/6,782.50
  6. Step 6: Final answer
    x = 5,503.49

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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.