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Finding the Fourth Proportional to 3,927.56, 5,420.03 and 2,159.15

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Solution

The fourth proportional to 3,927.56, 5,420.03 and 2,159.15 is: 2,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.56 : 5,420.03 = 2,159.15 : x
  2. Step 2: Convert to fraction form
    3,927.56/5,420.03 = 2,159.15/x
  3. Step 3: Cross multiply
    3,927.56x = 5,420.03 × 2,159.15
  4. Step 4: Simplify right side
    3,927.56x = 11,702,619.88
  5. Step 5: Solve for x
    x = 11,702,619.88/3,927.56
  6. Step 6: Final answer
    x = 2,979.62

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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.