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Finding the Fourth Proportional to 7,057.98, 9,740.28 and 3,871.56

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Solution

The fourth proportional to 7,057.98, 9,740.28 and 3,871.56 is: 5,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.98 : 9,740.28 = 3,871.56 : x
  2. Step 2: Convert to fraction form
    7,057.98/9,740.28 = 3,871.56/x
  3. Step 3: Cross multiply
    7,057.98x = 9,740.28 × 3,871.56
  4. Step 4: Simplify right side
    7,057.98x = 37,710,078.44
  5. Step 5: Solve for x
    x = 37,710,078.44/7,057.98
  6. Step 6: Final answer
    x = 5,342.90

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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.